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Finding the Fourth Proportional to 385,658.64, 578,862.12 and 186,119.52

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Solution

The fourth proportional to 385,658.64, 578,862.12 and 186,119.52 is: 279,359.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,658.64 : 578,862.12 = 186,119.52 : x
  2. Step 2: Convert to fraction form
    385,658.64/578,862.12 = 186,119.52/x
  3. Step 3: Cross multiply
    385,658.64x = 578,862.12 × 186,119.52
  4. Step 4: Simplify right side
    385,658.64x = 107,737,539,920.58
  5. Step 5: Solve for x
    x = 107,737,539,920.58/385,658.64
  6. Step 6: Final answer
    x = 279,359.85

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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.