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Finding the Fourth Proportional to 457,410.19, 686,063.37 and 120,477.21

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Solution

The fourth proportional to 457,410.19, 686,063.37 and 120,477.21 is: 180,702.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,410.19 : 686,063.37 = 120,477.21 : x
  2. Step 2: Convert to fraction form
    457,410.19/686,063.37 = 120,477.21/x
  3. Step 3: Cross multiply
    457,410.19x = 686,063.37 × 120,477.21
  4. Step 4: Simplify right side
    457,410.19x = 82,655,000,700.80
  5. Step 5: Solve for x
    x = 82,655,000,700.80/457,410.19
  6. Step 6: Final answer
    x = 180,702.14

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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.