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Finding the Fourth Proportional to 522,071.40, 782,070.30 and 311,082.60

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Solution

The fourth proportional to 522,071.40, 782,070.30 and 311,082.60 is: 466,006.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,071.40 : 782,070.30 = 311,082.60 : x
  2. Step 2: Convert to fraction form
    522,071.40/782,070.30 = 311,082.60/x
  3. Step 3: Cross multiply
    522,071.40x = 782,070.30 × 311,082.60
  4. Step 4: Simplify right side
    522,071.40x = 243,288,462,306.78
  5. Step 5: Solve for x
    x = 243,288,462,306.78/522,071.40
  6. Step 6: Final answer
    x = 466,006.11

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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.