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Finding the Fourth Proportional to 712,023.86, 982,398.61 and 405,988.65

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Solution

The fourth proportional to 712,023.86, 982,398.61 and 405,988.65 is: 560,153.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,023.86 : 982,398.61 = 405,988.65 : x
  2. Step 2: Convert to fraction form
    712,023.86/982,398.61 = 405,988.65/x
  3. Step 3: Cross multiply
    712,023.86x = 982,398.61 × 405,988.65
  4. Step 4: Simplify right side
    712,023.86x = 398,842,685,435.78
  5. Step 5: Solve for x
    x = 398,842,685,435.78/712,023.86
  6. Step 6: Final answer
    x = 560,153.54

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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.