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Finding the Fourth Proportional to 407,712.90, 611,569.35 and 323,732.10

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Solution

The fourth proportional to 407,712.90, 611,569.35 and 323,732.10 is: 485,598.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,712.90 : 611,569.35 = 323,732.10 : x
  2. Step 2: Convert to fraction form
    407,712.90/611,569.35 = 323,732.10/x
  3. Step 3: Cross multiply
    407,712.90x = 611,569.35 × 323,732.10
  4. Step 4: Simplify right side
    407,712.90x = 197,984,629,971.14
  5. Step 5: Solve for x
    x = 197,984,629,971.14/407,712.90
  6. Step 6: Final answer
    x = 485,598.15

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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.