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Finding the Fourth Proportional to 703,445.70, 970,773.15 and 431,663.77

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Solution

The fourth proportional to 703,445.70, 970,773.15 and 431,663.77 is: 595,707.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,445.70 : 970,773.15 = 431,663.77 : x
  2. Step 2: Convert to fraction form
    703,445.70/970,773.15 = 431,663.77/x
  3. Step 3: Cross multiply
    703,445.70x = 970,773.15 × 431,663.77
  4. Step 4: Simplify right side
    703,445.70x = 419,047,597,743.78
  5. Step 5: Solve for x
    x = 419,047,597,743.78/703,445.70
  6. Step 6: Final answer
    x = 595,707.10

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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.