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Finding the Fourth Proportional to 646,894.80, 970,471.80 and 542,437.20

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Solution

The fourth proportional to 646,894.80, 970,471.80 and 542,437.20 is: 813,764.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,894.80 : 970,471.80 = 542,437.20 : x
  2. Step 2: Convert to fraction form
    646,894.80/970,471.80 = 542,437.20/x
  3. Step 3: Cross multiply
    646,894.80x = 970,471.80 × 542,437.20
  4. Step 4: Simplify right side
    646,894.80x = 526,420,005,870.96
  5. Step 5: Solve for x
    x = 526,420,005,870.96/646,894.80
  6. Step 6: Final answer
    x = 813,764.47

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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.