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Finding the Fourth Proportional to 415,803.80, 623,705.70 and 149,605.40

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Solution

The fourth proportional to 415,803.80, 623,705.70 and 149,605.40 is: 224,408.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,803.80 : 623,705.70 = 149,605.40 : x
  2. Step 2: Convert to fraction form
    415,803.80/623,705.70 = 149,605.40/x
  3. Step 3: Cross multiply
    415,803.80x = 623,705.70 × 149,605.40
  4. Step 4: Simplify right side
    415,803.80x = 93,309,740,730.78
  5. Step 5: Solve for x
    x = 93,309,740,730.78/415,803.80
  6. Step 6: Final answer
    x = 224,408.10

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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.