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Finding the Fourth Proportional to 457,779.48, 686,538 and 137,962.32

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Solution

The fourth proportional to 457,779.48, 686,538 and 137,962.32 is: 206,903.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,779.48 : 686,538 = 137,962.32 : x
  2. Step 2: Convert to fraction form
    457,779.48/686,538 = 137,962.32/x
  3. Step 3: Cross multiply
    457,779.48x = 686,538 × 137,962.32
  4. Step 4: Simplify right side
    457,779.48x = 94,716,375,248.16
  5. Step 5: Solve for x
    x = 94,716,375,248.16/457,779.48
  6. Step 6: Final answer
    x = 206,903.93

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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.