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Finding the Fourth Proportional to 415,390.68, 623,350.98 and 149,145.72

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Solution

The fourth proportional to 415,390.68, 623,350.98 and 149,145.72 is: 223,813.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,390.68 : 623,350.98 = 149,145.72 : x
  2. Step 2: Convert to fraction form
    415,390.68/623,350.98 = 149,145.72/x
  3. Step 3: Cross multiply
    415,390.68x = 623,350.98 × 149,145.72
  4. Step 4: Simplify right side
    415,390.68x = 92,970,130,724.81
  5. Step 5: Solve for x
    x = 92,970,130,724.81/415,390.68
  6. Step 6: Final answer
    x = 223,813.71

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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.