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Finding the Fourth Proportional to 561,470.11, 842,641.90 and 391,888.76

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Solution

The fourth proportional to 561,470.11, 842,641.90 and 391,888.76 is: 588,137.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,470.11 : 842,641.90 = 391,888.76 : x
  2. Step 2: Convert to fraction form
    561,470.11/842,641.90 = 391,888.76/x
  3. Step 3: Cross multiply
    561,470.11x = 842,641.90 × 391,888.76
  4. Step 4: Simplify right side
    561,470.11x = 330,221,889,413.07
  5. Step 5: Solve for x
    x = 330,221,889,413.07/561,470.11
  6. Step 6: Final answer
    x = 588,137.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.