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Finding the Fourth Proportional to 791,707, 1,092,624.78 and 434,080.12

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Solution

The fourth proportional to 791,707, 1,092,624.78 and 434,080.12 is: 599,068.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,707 : 1,092,624.78 = 434,080.12 : x
  2. Step 2: Convert to fraction form
    791,707/1,092,624.78 = 434,080.12/x
  3. Step 3: Cross multiply
    791,707x = 1,092,624.78 × 434,080.12
  4. Step 4: Simplify right side
    791,707x = 474,286,695,617.37
  5. Step 5: Solve for x
    x = 474,286,695,617.37/791,707
  6. Step 6: Final answer
    x = 599,068.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.