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Finding the Fourth Proportional to 587,440, 810,669.36 and 319,168

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Solution

The fourth proportional to 587,440, 810,669.36 and 319,168 is: 440,453.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,440 : 810,669.36 = 319,168 : x
  2. Step 2: Convert to fraction form
    587,440/810,669.36 = 319,168/x
  3. Step 3: Cross multiply
    587,440x = 810,669.36 × 319,168
  4. Step 4: Simplify right side
    587,440x = 258,739,718,292.48
  5. Step 5: Solve for x
    x = 258,739,718,292.48/587,440
  6. Step 6: Final answer
    x = 440,453.01

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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.