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Finding the Fourth Proportional to 587,496, 810,749.34 and 319,224

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Solution

The fourth proportional to 587,496, 810,749.34 and 319,224 is: 440,531.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,496 : 810,749.34 = 319,224 : x
  2. Step 2: Convert to fraction form
    587,496/810,749.34 = 319,224/x
  3. Step 3: Cross multiply
    587,496x = 810,749.34 × 319,224
  4. Step 4: Simplify right side
    587,496x = 258,810,647,312.16
  5. Step 5: Solve for x
    x = 258,810,647,312.16/587,496
  6. Step 6: Final answer
    x = 440,531.76

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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.