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Finding the Fourth Proportional to 661,286.96, 992,211.29 and 361,417.19

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Solution

The fourth proportional to 661,286.96, 992,211.29 and 361,417.19 is: 542,279.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,286.96 : 992,211.29 = 361,417.19 : x
  2. Step 2: Convert to fraction form
    661,286.96/992,211.29 = 361,417.19/x
  3. Step 3: Cross multiply
    661,286.96x = 992,211.29 × 361,417.19
  4. Step 4: Simplify right side
    661,286.96x = 358,602,209,549.93
  5. Step 5: Solve for x
    x = 358,602,209,549.93/661,286.96
  6. Step 6: Final answer
    x = 542,279.27

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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.