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Finding the Fourth Proportional to 493,648.07, 740,500.82 and 138,689.76

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Solution

The fourth proportional to 493,648.07, 740,500.82 and 138,689.76 is: 208,042.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,648.07 : 740,500.82 = 138,689.76 : x
  2. Step 2: Convert to fraction form
    493,648.07/740,500.82 = 138,689.76/x
  3. Step 3: Cross multiply
    493,648.07x = 740,500.82 × 138,689.76
  4. Step 4: Simplify right side
    493,648.07x = 102,699,880,312.15
  5. Step 5: Solve for x
    x = 102,699,880,312.15/493,648.07
  6. Step 6: Final answer
    x = 208,042.71

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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.