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Finding the Fourth Proportional to 502,421.79, 753,672.17 and 142,586.93

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Solution

The fourth proportional to 502,421.79, 753,672.17 and 142,586.93 is: 213,891.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,421.79 : 753,672.17 = 142,586.93 : x
  2. Step 2: Convert to fraction form
    502,421.79/753,672.17 = 142,586.93/x
  3. Step 3: Cross multiply
    502,421.79x = 753,672.17 × 142,586.93
  4. Step 4: Simplify right side
    502,421.79x = 107,463,796,465.44
  5. Step 5: Solve for x
    x = 107,463,796,465.44/502,421.79
  6. Step 6: Final answer
    x = 213,891.59

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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.