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Finding the Fourth Proportional to 703,010.86, 970,251.54 and 431,030.68

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Solution

The fourth proportional to 703,010.86, 970,251.54 and 431,030.68 is: 594,881.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,010.86 : 970,251.54 = 431,030.68 : x
  2. Step 2: Convert to fraction form
    703,010.86/970,251.54 = 431,030.68/x
  3. Step 3: Cross multiply
    703,010.86x = 970,251.54 × 431,030.68
  4. Step 4: Simplify right side
    703,010.86x = 418,208,181,057.25
  5. Step 5: Solve for x
    x = 418,208,181,057.25/703,010.86
  6. Step 6: Final answer
    x = 594,881.54

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1.5x scale

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.