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Finding the Fourth Proportional to 415,428.32, 623,142.48 and 99,885.22

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Solution

The fourth proportional to 415,428.32, 623,142.48 and 99,885.22 is: 149,827.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,428.32 : 623,142.48 = 99,885.22 : x
  2. Step 2: Convert to fraction form
    415,428.32/623,142.48 = 99,885.22/x
  3. Step 3: Cross multiply
    415,428.32x = 623,142.48 × 99,885.22
  4. Step 4: Simplify right side
    415,428.32x = 62,242,723,706.15
  5. Step 5: Solve for x
    x = 62,242,723,706.15/415,428.32
  6. Step 6: Final answer
    x = 149,827.83

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1.5x scale

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.