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Finding the Fourth Proportional to 257,030.60, 385,545.90 and 212,793.80

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Solution

The fourth proportional to 257,030.60, 385,545.90 and 212,793.80 is: 319,190.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,030.60 : 385,545.90 = 212,793.80 : x
  2. Step 2: Convert to fraction form
    257,030.60/385,545.90 = 212,793.80/x
  3. Step 3: Cross multiply
    257,030.60x = 385,545.90 × 212,793.80
  4. Step 4: Simplify right side
    257,030.60x = 82,041,777,135.42
  5. Step 5: Solve for x
    x = 82,041,777,135.42/257,030.60
  6. Step 6: Final answer
    x = 319,190.70

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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.