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Finding the Fourth Proportional to 649,709.12, 896,709.30 and 377,934.59

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Solution

The fourth proportional to 649,709.12, 896,709.30 and 377,934.59 is: 521,614.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,709.12 : 896,709.30 = 377,934.59 : x
  2. Step 2: Convert to fraction form
    649,709.12/896,709.30 = 377,934.59/x
  3. Step 3: Cross multiply
    649,709.12x = 896,709.30 × 377,934.59
  4. Step 4: Simplify right side
    649,709.12x = 338,897,461,644.69
  5. Step 5: Solve for x
    x = 338,897,461,644.69/649,709.12
  6. Step 6: Final answer
    x = 521,614.14

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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.