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Finding the Fourth Proportional to 457,813.12, 686,705.10 and 120,843.40

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Solution

The fourth proportional to 457,813.12, 686,705.10 and 120,843.40 is: 181,261.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,813.12 : 686,705.10 = 120,843.40 : x
  2. Step 2: Convert to fraction form
    457,813.12/686,705.10 = 120,843.40/x
  3. Step 3: Cross multiply
    457,813.12x = 686,705.10 × 120,843.40
  4. Step 4: Simplify right side
    457,813.12x = 82,983,779,081.34
  5. Step 5: Solve for x
    x = 82,983,779,081.34/457,813.12
  6. Step 6: Final answer
    x = 181,261.25

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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.