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Finding the Fourth Proportional to 292,289.16, 438,479.61 and 123,809.97

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Solution

The fourth proportional to 292,289.16, 438,479.61 and 123,809.97 is: 185,734.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,289.16 : 438,479.61 = 123,809.97 : x
  2. Step 2: Convert to fraction form
    292,289.16/438,479.61 = 123,809.97/x
  3. Step 3: Cross multiply
    292,289.16x = 438,479.61 × 123,809.97
  4. Step 4: Simplify right side
    292,289.16x = 54,288,147,359.71
  5. Step 5: Solve for x
    x = 54,288,147,359.71/292,289.16
  6. Step 6: Final answer
    x = 185,734.38

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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.