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Finding the Fourth Proportional to 500,486.31, 750,729.47 and 126,509.31

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Solution

The fourth proportional to 500,486.31, 750,729.47 and 126,509.31 is: 189,763.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,486.31 : 750,729.47 = 126,509.31 : x
  2. Step 2: Convert to fraction form
    500,486.31/750,729.47 = 126,509.31/x
  3. Step 3: Cross multiply
    500,486.31x = 750,729.47 × 126,509.31
  4. Step 4: Simplify right side
    500,486.31x = 94,974,266,613.82
  5. Step 5: Solve for x
    x = 94,974,266,613.82/500,486.31
  6. Step 6: Final answer
    x = 189,763.97

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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.