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Finding the Fourth Proportional to 290,151.96, 435,207.04 and 76,915.02

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Solution

The fourth proportional to 290,151.96, 435,207.04 and 76,915.02 is: 115,366.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,151.96 : 435,207.04 = 76,915.02 : x
  2. Step 2: Convert to fraction form
    290,151.96/435,207.04 = 76,915.02/x
  3. Step 3: Cross multiply
    290,151.96x = 435,207.04 × 76,915.02
  4. Step 4: Simplify right side
    290,151.96x = 33,473,956,905.44
  5. Step 5: Solve for x
    x = 33,473,956,905.44/290,151.96
  6. Step 6: Final answer
    x = 115,366.98

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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.