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Finding the Fourth Proportional to 660,988.92, 991,306.26 and 286,923

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Solution

The fourth proportional to 660,988.92, 991,306.26 and 286,923 is: 430,307.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,988.92 : 991,306.26 = 286,923 : x
  2. Step 2: Convert to fraction form
    660,988.92/991,306.26 = 286,923/x
  3. Step 3: Cross multiply
    660,988.92x = 991,306.26 × 286,923
  4. Step 4: Simplify right side
    660,988.92x = 284,428,566,037.98
  5. Step 5: Solve for x
    x = 284,428,566,037.98/660,988.92
  6. Step 6: Final answer
    x = 430,307.62

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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.