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Finding the Fourth Proportional to 487,445.32, 730,643.08 and 465,097.96

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Solution

The fourth proportional to 487,445.32, 730,643.08 and 465,097.96 is: 697,146.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,445.32 : 730,643.08 = 465,097.96 : x
  2. Step 2: Convert to fraction form
    487,445.32/730,643.08 = 465,097.96/x
  3. Step 3: Cross multiply
    487,445.32x = 730,643.08 × 465,097.96
  4. Step 4: Simplify right side
    487,445.32x = 339,820,605,996.12
  5. Step 5: Solve for x
    x = 339,820,605,996.12/487,445.32
  6. Step 6: Final answer
    x = 697,146.10

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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.