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Finding the Fourth Proportional to 292,288.66, 438,478.85 and 123,809.47

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Solution

The fourth proportional to 292,288.66, 438,478.85 and 123,809.47 is: 185,733.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,288.66 : 438,478.85 = 123,809.47 : x
  2. Step 2: Convert to fraction form
    292,288.66/438,478.85 = 123,809.47/x
  3. Step 3: Cross multiply
    292,288.66x = 438,478.85 × 123,809.47
  4. Step 4: Simplify right side
    292,288.66x = 54,287,834,024.71
  5. Step 5: Solve for x
    x = 54,287,834,024.71/292,288.66
  6. Step 6: Final answer
    x = 185,733.63

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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.