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Finding the Fourth Proportional to 288,151.04, 397,654.78 and 159,089.12

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Solution

The fourth proportional to 288,151.04, 397,654.78 and 159,089.12 is: 219,546.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,151.04 : 397,654.78 = 159,089.12 : x
  2. Step 2: Convert to fraction form
    288,151.04/397,654.78 = 159,089.12/x
  3. Step 3: Cross multiply
    288,151.04x = 397,654.78 × 159,089.12
  4. Step 4: Simplify right side
    288,151.04x = 63,262,549,013.99
  5. Step 5: Solve for x
    x = 63,262,549,013.99/288,151.04
  6. Step 6: Final answer
    x = 219,546.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.