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Finding the Fourth Proportional to 493,730.69, 740,623.67 and 138,717

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Solution

The fourth proportional to 493,730.69, 740,623.67 and 138,717 is: 208,083.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,730.69 : 740,623.67 = 138,717 : x
  2. Step 2: Convert to fraction form
    493,730.69/740,623.67 = 138,717/x
  3. Step 3: Cross multiply
    493,730.69x = 740,623.67 × 138,717
  4. Step 4: Simplify right side
    493,730.69x = 102,737,092,937.81
  5. Step 5: Solve for x
    x = 102,737,092,937.81/493,730.69
  6. Step 6: Final answer
    x = 208,083.26

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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.