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Finding the Fourth Proportional to 428,977.52, 643,473.84 and 148,503.68

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Solution

The fourth proportional to 428,977.52, 643,473.84 and 148,503.68 is: 222,758.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,977.52 : 643,473.84 = 148,503.68 : x
  2. Step 2: Convert to fraction form
    428,977.52/643,473.84 = 148,503.68/x
  3. Step 3: Cross multiply
    428,977.52x = 643,473.84 × 148,503.68
  4. Step 4: Simplify right side
    428,977.52x = 95,558,233,223.73
  5. Step 5: Solve for x
    x = 95,558,233,223.73/428,977.52
  6. Step 6: Final answer
    x = 222,758.14

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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.