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Finding the Fourth Proportional to 457,409.19, 686,061.87 and 120,476.21

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Solution

The fourth proportional to 457,409.19, 686,061.87 and 120,476.21 is: 180,700.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,409.19 : 686,061.87 = 120,476.21 : x
  2. Step 2: Convert to fraction form
    457,409.19/686,061.87 = 120,476.21/x
  3. Step 3: Cross multiply
    457,409.19x = 686,061.87 × 120,476.21
  4. Step 4: Simplify right side
    457,409.19x = 82,654,133,900.12
  5. Step 5: Solve for x
    x = 82,654,133,900.12/457,409.19
  6. Step 6: Final answer
    x = 180,700.64

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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.