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Finding the Fourth Proportional to 292,284.65, 438,472.85 and 123,805.46

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Solution

The fourth proportional to 292,284.65, 438,472.85 and 123,805.46 is: 185,727.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,284.65 : 438,472.85 = 123,805.46 : x
  2. Step 2: Convert to fraction form
    292,284.65/438,472.85 = 123,805.46/x
  3. Step 3: Cross multiply
    292,284.65x = 438,472.85 × 123,805.46
  4. Step 4: Simplify right side
    292,284.65x = 54,285,333,368.92
  5. Step 5: Solve for x
    x = 54,285,333,368.92/292,284.65
  6. Step 6: Final answer
    x = 185,727.62

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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.