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Finding the Fourth Proportional to 288,052.72, 432,073.96 and 77,712.88

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Solution

The fourth proportional to 288,052.72, 432,073.96 and 77,712.88 is: 116,567.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,052.72 : 432,073.96 = 77,712.88 : x
  2. Step 2: Convert to fraction form
    288,052.72/432,073.96 = 77,712.88/x
  3. Step 3: Cross multiply
    288,052.72x = 432,073.96 × 77,712.88
  4. Step 4: Simplify right side
    288,052.72x = 33,577,711,804.60
  5. Step 5: Solve for x
    x = 33,577,711,804.60/288,052.72
  6. Step 6: Final answer
    x = 116,567.94

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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.