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Finding the Fourth Proportional to 587,544.75, 810,816.90 and 319,272.75

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Solution

The fourth proportional to 587,544.75, 810,816.90 and 319,272.75 is: 440,599.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,544.75 : 810,816.90 = 319,272.75 : x
  2. Step 2: Convert to fraction form
    587,544.75/810,816.90 = 319,272.75/x
  3. Step 3: Cross multiply
    587,544.75x = 810,816.90 × 319,272.75
  4. Step 4: Simplify right side
    587,544.75x = 258,871,741,409.48
  5. Step 5: Solve for x
    x = 258,871,741,409.48/587,544.75
  6. Step 6: Final answer
    x = 440,599.19

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.