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Finding the Fourth Proportional to 390,647.53, 586,029.80 and 141,387.85

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Solution

The fourth proportional to 390,647.53, 586,029.80 and 141,387.85 is: 212,102.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,647.53 : 586,029.80 = 141,387.85 : x
  2. Step 2: Convert to fraction form
    390,647.53/586,029.80 = 141,387.85/x
  3. Step 3: Cross multiply
    390,647.53x = 586,029.80 × 141,387.85
  4. Step 4: Simplify right side
    390,647.53x = 82,857,494,543.94
  5. Step 5: Solve for x
    x = 82,857,494,543.94/390,647.53
  6. Step 6: Final answer
    x = 212,102.95

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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.