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Finding the Fourth Proportional to 287,573.10, 431,035.65 and 137,885.10

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Solution

The fourth proportional to 287,573.10, 431,035.65 and 137,885.10 is: 206,672.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,573.10 : 431,035.65 = 137,885.10 : x
  2. Step 2: Convert to fraction form
    287,573.10/431,035.65 = 137,885.10/x
  3. Step 3: Cross multiply
    287,573.10x = 431,035.65 × 137,885.10
  4. Step 4: Simplify right side
    287,573.10x = 59,433,393,703.82
  5. Step 5: Solve for x
    x = 59,433,393,703.82/287,573.10
  6. Step 6: Final answer
    x = 206,672.30

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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.