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Finding the Fourth Proportional to 711,822, 982,306.96 and 405,948.20

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Solution

The fourth proportional to 711,822, 982,306.96 and 405,948.20 is: 560,204.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,822 : 982,306.96 = 405,948.20 : x
  2. Step 2: Convert to fraction form
    711,822/982,306.96 = 405,948.20/x
  3. Step 3: Cross multiply
    711,822x = 982,306.96 × 405,948.20
  4. Step 4: Simplify right side
    711,822x = 398,765,742,259.47
  5. Step 5: Solve for x
    x = 398,765,742,259.47/711,822
  6. Step 6: Final answer
    x = 560,204.30

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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.