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Finding the Fourth Proportional to 515,024.69, 710,735.61 and 285,598.13

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Solution

The fourth proportional to 515,024.69, 710,735.61 and 285,598.13 is: 394,126.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,024.69 : 710,735.61 = 285,598.13 : x
  2. Step 2: Convert to fraction form
    515,024.69/710,735.61 = 285,598.13/x
  3. Step 3: Cross multiply
    515,024.69x = 710,735.61 × 285,598.13
  4. Step 4: Simplify right side
    515,024.69x = 202,984,761,140.41
  5. Step 5: Solve for x
    x = 202,984,761,140.41/515,024.69
  6. Step 6: Final answer
    x = 394,126.27

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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.