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Finding the Fourth Proportional to 493,658.19, 740,515.98 and 138,699.93

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Solution

The fourth proportional to 493,658.19, 740,515.98 and 138,699.93 is: 208,057.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,658.19 : 740,515.98 = 138,699.93 : x
  2. Step 2: Convert to fraction form
    493,658.19/740,515.98 = 138,699.93/x
  3. Step 3: Cross multiply
    493,658.19x = 740,515.98 × 138,699.93
  4. Step 4: Simplify right side
    493,658.19x = 102,709,514,589.88
  5. Step 5: Solve for x
    x = 102,709,514,589.88/493,658.19
  6. Step 6: Final answer
    x = 208,057.96

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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.