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Finding the Fourth Proportional to 703,782.80, 970,722.56 and 431,864.72

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Solution

The fourth proportional to 703,782.80, 970,722.56 and 431,864.72 is: 595,667.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,782.80 : 970,722.56 = 431,864.72 : x
  2. Step 2: Convert to fraction form
    703,782.80/970,722.56 = 431,864.72/x
  3. Step 3: Cross multiply
    703,782.80x = 970,722.56 × 431,864.72
  4. Step 4: Simplify right side
    703,782.80x = 419,220,826,572.08
  5. Step 5: Solve for x
    x = 419,220,826,572.08/703,782.80
  6. Step 6: Final answer
    x = 595,667.91

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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.