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Finding the Fourth Proportional to 292,639.83, 438,959.76 and 82,277.76

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Solution

The fourth proportional to 292,639.83, 438,959.76 and 82,277.76 is: 123,416.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,639.83 : 438,959.76 = 82,277.76 : x
  2. Step 2: Convert to fraction form
    292,639.83/438,959.76 = 82,277.76/x
  3. Step 3: Cross multiply
    292,639.83x = 438,959.76 × 82,277.76
  4. Step 4: Simplify right side
    292,639.83x = 36,116,625,782.94
  5. Step 5: Solve for x
    x = 36,116,625,782.94/292,639.83
  6. Step 6: Final answer
    x = 123,416.64

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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.