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Finding the Fourth Proportional to 518,592, 715,657.60 and 280,128

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Solution

The fourth proportional to 518,592, 715,657.60 and 280,128 is: 386,576.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,592 : 715,657.60 = 280,128 : x
  2. Step 2: Convert to fraction form
    518,592/715,657.60 = 280,128/x
  3. Step 3: Cross multiply
    518,592x = 715,657.60 × 280,128
  4. Step 4: Simplify right side
    518,592x = 200,475,732,172.80
  5. Step 5: Solve for x
    x = 200,475,732,172.80/518,592
  6. Step 6: Final answer
    x = 386,576.99

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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.