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Finding the Fourth Proportional to 398,340.18, 597,510.27 and 280,980.29

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Solution

The fourth proportional to 398,340.18, 597,510.27 and 280,980.29 is: 421,470.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,340.18 : 597,510.27 = 280,980.29 : x
  2. Step 2: Convert to fraction form
    398,340.18/597,510.27 = 280,980.29/x
  3. Step 3: Cross multiply
    398,340.18x = 597,510.27 × 280,980.29
  4. Step 4: Simplify right side
    398,340.18x = 167,888,610,436.35
  5. Step 5: Solve for x
    x = 167,888,610,436.35/398,340.18
  6. Step 6: Final answer
    x = 421,470.44

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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.