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Finding the Fourth Proportional to 493,834.71, 740,584.36 and 138,766.17

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Solution

The fourth proportional to 493,834.71, 740,584.36 and 138,766.17 is: 208,102.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,834.71 : 740,584.36 = 138,766.17 : x
  2. Step 2: Convert to fraction form
    493,834.71/740,584.36 = 138,766.17/x
  3. Step 3: Cross multiply
    493,834.71x = 740,584.36 × 138,766.17
  4. Step 4: Simplify right side
    493,834.71x = 102,768,055,199.10
  5. Step 5: Solve for x
    x = 102,768,055,199.10/493,834.71
  6. Step 6: Final answer
    x = 208,102.13

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1.5x scale

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.