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Finding the Fourth Proportional to 415,492.16, 623,016.71 and 215,611.30

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Solution

The fourth proportional to 415,492.16, 623,016.71 and 215,611.30 is: 323,301.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,492.16 : 623,016.71 = 215,611.30 : x
  2. Step 2: Convert to fraction form
    415,492.16/623,016.71 = 215,611.30/x
  3. Step 3: Cross multiply
    415,492.16x = 623,016.71 × 215,611.30
  4. Step 4: Simplify right side
    415,492.16x = 134,329,438,571.68
  5. Step 5: Solve for x
    x = 134,329,438,571.68/415,492.16
  6. Step 6: Final answer
    x = 323,301.98

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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.