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Finding the Fourth Proportional to 415,423.94, 623,135.92 and 99,880.86

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Solution

The fourth proportional to 415,423.94, 623,135.92 and 99,880.86 is: 149,821.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,423.94 : 623,135.92 = 99,880.86 : x
  2. Step 2: Convert to fraction form
    415,423.94/623,135.92 = 99,880.86/x
  3. Step 3: Cross multiply
    415,423.94x = 623,135.92 × 99,880.86
  4. Step 4: Simplify right side
    415,423.94x = 62,239,351,586.49
  5. Step 5: Solve for x
    x = 62,239,351,586.49/415,423.94
  6. Step 6: Final answer
    x = 149,821.29

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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.