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Finding the Fourth Proportional to 485,143.60, 727,715.40 and 406,411.60

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Solution

The fourth proportional to 485,143.60, 727,715.40 and 406,411.60 is: 609,617.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,143.60 : 727,715.40 = 406,411.60 : x
  2. Step 2: Convert to fraction form
    485,143.60/727,715.40 = 406,411.60/x
  3. Step 3: Cross multiply
    485,143.60x = 727,715.40 × 406,411.60
  4. Step 4: Simplify right side
    485,143.60x = 295,751,980,058.64
  5. Step 5: Solve for x
    x = 295,751,980,058.64/485,143.60
  6. Step 6: Final answer
    x = 609,617.40

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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.