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Finding the Fourth Proportional to 674,035, 1,011,830.14 and 342,310.84

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Solution

The fourth proportional to 674,035, 1,011,830.14 and 342,310.84 is: 513,861.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,035 : 1,011,830.14 = 342,310.84 : x
  2. Step 2: Convert to fraction form
    674,035/1,011,830.14 = 342,310.84/x
  3. Step 3: Cross multiply
    674,035x = 1,011,830.14 × 342,310.84
  4. Step 4: Simplify right side
    674,035x = 346,360,425,160.72
  5. Step 5: Solve for x
    x = 346,360,425,160.72/674,035
  6. Step 6: Final answer
    x = 513,861.19

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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.