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Finding the Fourth Proportional to 492,865.72, 680,025.42 and 288,807.08

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Solution

The fourth proportional to 492,865.72, 680,025.42 and 288,807.08 is: 398,478.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,865.72 : 680,025.42 = 288,807.08 : x
  2. Step 2: Convert to fraction form
    492,865.72/680,025.42 = 288,807.08/x
  3. Step 3: Cross multiply
    492,865.72x = 680,025.42 × 288,807.08
  4. Step 4: Simplify right side
    492,865.72x = 196,396,155,875.97
  5. Step 5: Solve for x
    x = 196,396,155,875.97/492,865.72
  6. Step 6: Final answer
    x = 398,478.02

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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.