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Finding the Fourth Proportional to 447,756.80, 671,631.12 and 181,454

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Solution

The fourth proportional to 447,756.80, 671,631.12 and 181,454 is: 272,179.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,756.80 : 671,631.12 = 181,454 : x
  2. Step 2: Convert to fraction form
    447,756.80/671,631.12 = 181,454/x
  3. Step 3: Cross multiply
    447,756.80x = 671,631.12 × 181,454
  4. Step 4: Simplify right side
    447,756.80x = 121,870,153,248.48
  5. Step 5: Solve for x
    x = 121,870,153,248.48/447,756.80
  6. Step 6: Final answer
    x = 272,179.35

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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.