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Finding the Fourth Proportional to 457,573.50, 686,417.65 and 137,675.54

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Solution

The fourth proportional to 457,573.50, 686,417.65 and 137,675.54 is: 206,530.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,573.50 : 686,417.65 = 137,675.54 : x
  2. Step 2: Convert to fraction form
    457,573.50/686,417.65 = 137,675.54/x
  3. Step 3: Cross multiply
    457,573.50x = 686,417.65 × 137,675.54
  4. Step 4: Simplify right side
    457,573.50x = 94,502,922,001.14
  5. Step 5: Solve for x
    x = 94,502,922,001.14/457,573.50
  6. Step 6: Final answer
    x = 206,530.58

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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.