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Finding the Fourth Proportional to 288,277.90, 432,427.78 and 77,915.92

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Solution

The fourth proportional to 288,277.90, 432,427.78 and 77,915.92 is: 116,876.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,277.90 : 432,427.78 = 77,915.92 : x
  2. Step 2: Convert to fraction form
    288,277.90/432,427.78 = 77,915.92/x
  3. Step 3: Cross multiply
    288,277.90x = 432,427.78 × 77,915.92
  4. Step 4: Simplify right side
    288,277.90x = 33,693,008,312.26
  5. Step 5: Solve for x
    x = 33,693,008,312.26/288,277.90
  6. Step 6: Final answer
    x = 116,876.83

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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.