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Finding the Fourth Proportional to 415,874.20, 623,811.30 and 149,643.40

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Solution

The fourth proportional to 415,874.20, 623,811.30 and 149,643.40 is: 224,465.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,874.20 : 623,811.30 = 149,643.40 : x
  2. Step 2: Convert to fraction form
    415,874.20/623,811.30 = 149,643.40/x
  3. Step 3: Cross multiply
    415,874.20x = 623,811.30 × 149,643.40
  4. Step 4: Simplify right side
    415,874.20x = 93,349,243,890.42
  5. Step 5: Solve for x
    x = 93,349,243,890.42/415,874.20
  6. Step 6: Final answer
    x = 224,465.10

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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.