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Finding the Fourth Proportional to 661,013.92, 991,343.76 and 286,948

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Solution

The fourth proportional to 661,013.92, 991,343.76 and 286,948 is: 430,345.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,013.92 : 991,343.76 = 286,948 : x
  2. Step 2: Convert to fraction form
    661,013.92/991,343.76 = 286,948/x
  3. Step 3: Cross multiply
    661,013.92x = 991,343.76 × 286,948
  4. Step 4: Simplify right side
    661,013.92x = 284,464,109,244.48
  5. Step 5: Solve for x
    x = 284,464,109,244.48/661,013.92
  6. Step 6: Final answer
    x = 430,345.11

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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.