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Finding the Fourth Proportional to 288,156.42, 432,234.72 and 77,794.20

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Solution

The fourth proportional to 288,156.42, 432,234.72 and 77,794.20 is: 116,691.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,156.42 : 432,234.72 = 77,794.20 : x
  2. Step 2: Convert to fraction form
    288,156.42/432,234.72 = 77,794.20/x
  3. Step 3: Cross multiply
    288,156.42x = 432,234.72 × 77,794.20
  4. Step 4: Simplify right side
    288,156.42x = 33,625,354,254.62
  5. Step 5: Solve for x
    x = 33,625,354,254.62/288,156.42
  6. Step 6: Final answer
    x = 116,691.32

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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.