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Finding the Fourth Proportional to 712,019.62, 982,392.76 and 405,984.39

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Solution

The fourth proportional to 712,019.62, 982,392.76 and 405,984.39 is: 560,147.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,019.62 : 982,392.76 = 405,984.39 : x
  2. Step 2: Convert to fraction form
    712,019.62/982,392.76 = 405,984.39/x
  3. Step 3: Cross multiply
    712,019.62x = 982,392.76 × 405,984.39
  4. Step 4: Simplify right side
    712,019.62x = 398,836,119,948.86
  5. Step 5: Solve for x
    x = 398,836,119,948.86/712,019.62
  6. Step 6: Final answer
    x = 560,147.66

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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.