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Finding the Fourth Proportional to 386,294.64, 579,494.88 and 120,005.52

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Solution

The fourth proportional to 386,294.64, 579,494.88 and 120,005.52 is: 180,024.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,294.64 : 579,494.88 = 120,005.52 : x
  2. Step 2: Convert to fraction form
    386,294.64/579,494.88 = 120,005.52/x
  3. Step 3: Cross multiply
    386,294.64x = 579,494.88 × 120,005.52
  4. Step 4: Simplify right side
    386,294.64x = 69,542,584,411.74
  5. Step 5: Solve for x
    x = 69,542,584,411.74/386,294.64
  6. Step 6: Final answer
    x = 180,024.72

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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.