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Finding the Fourth Proportional to 261,293.82, 392,006.54 and 74,305.32

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Solution

The fourth proportional to 261,293.82, 392,006.54 and 74,305.32 is: 111,476.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,293.82 : 392,006.54 = 74,305.32 : x
  2. Step 2: Convert to fraction form
    261,293.82/392,006.54 = 74,305.32/x
  3. Step 3: Cross multiply
    261,293.82x = 392,006.54 × 74,305.32
  4. Step 4: Simplify right side
    261,293.82x = 29,128,171,025.27
  5. Step 5: Solve for x
    x = 29,128,171,025.27/261,293.82
  6. Step 6: Final answer
    x = 111,476.69

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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.