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Finding the Fourth Proportional to 610,823.80, 916,818.90 and 311,642.20

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Solution

The fourth proportional to 610,823.80, 916,818.90 and 311,642.20 is: 467,760.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,823.80 : 916,818.90 = 311,642.20 : x
  2. Step 2: Convert to fraction form
    610,823.80/916,818.90 = 311,642.20/x
  3. Step 3: Cross multiply
    610,823.80x = 916,818.90 × 311,642.20
  4. Step 4: Simplify right side
    610,823.80x = 285,719,458,997.58
  5. Step 5: Solve for x
    x = 285,719,458,997.58/610,823.80
  6. Step 6: Final answer
    x = 467,760.85

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1.5x scale

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.