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Finding the Fourth Proportional to 459,116.60, 688,002.60 and 411,731.60

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Solution

The fourth proportional to 459,116.60, 688,002.60 and 411,731.60 is: 616,994.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,116.60 : 688,002.60 = 411,731.60 : x
  2. Step 2: Convert to fraction form
    459,116.60/688,002.60 = 411,731.60/x
  3. Step 3: Cross multiply
    459,116.60x = 688,002.60 × 411,731.60
  4. Step 4: Simplify right side
    459,116.60x = 283,272,411,302.16
  5. Step 5: Solve for x
    x = 283,272,411,302.16/459,116.60
  6. Step 6: Final answer
    x = 616,994.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.