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Finding the Fourth Proportional to 540,948.62, 746,327.80 and 311,500.98

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Solution

The fourth proportional to 540,948.62, 746,327.80 and 311,500.98 is: 429,766.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,948.62 : 746,327.80 = 311,500.98 : x
  2. Step 2: Convert to fraction form
    540,948.62/746,327.80 = 311,500.98/x
  3. Step 3: Cross multiply
    540,948.62x = 746,327.80 × 311,500.98
  4. Step 4: Simplify right side
    540,948.62x = 232,481,841,490.62
  5. Step 5: Solve for x
    x = 232,481,841,490.62/540,948.62
  6. Step 6: Final answer
    x = 429,766.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.