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Finding the Fourth Proportional to 417,489.39, 576,130.19 and 226,501.38

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Solution

The fourth proportional to 417,489.39, 576,130.19 and 226,501.38 is: 312,569.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,489.39 : 576,130.19 = 226,501.38 : x
  2. Step 2: Convert to fraction form
    417,489.39/576,130.19 = 226,501.38/x
  3. Step 3: Cross multiply
    417,489.39x = 576,130.19 × 226,501.38
  4. Step 4: Simplify right side
    417,489.39x = 130,494,281,962.16
  5. Step 5: Solve for x
    x = 130,494,281,962.16/417,489.39
  6. Step 6: Final answer
    x = 312,569.10

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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.