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Finding the Fourth Proportional to 600,641.28, 828,978.30 and 342,518.85

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Solution

The fourth proportional to 600,641.28, 828,978.30 and 342,518.85 is: 472,729.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,641.28 : 828,978.30 = 342,518.85 : x
  2. Step 2: Convert to fraction form
    600,641.28/828,978.30 = 342,518.85/x
  3. Step 3: Cross multiply
    600,641.28x = 828,978.30 × 342,518.85
  4. Step 4: Simplify right side
    600,641.28x = 283,940,693,990.96
  5. Step 5: Solve for x
    x = 283,940,693,990.96/600,641.28
  6. Step 6: Final answer
    x = 472,729.24

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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.