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Finding the Fourth Proportional to 298,470.29, 411,868.20 and 169,411.40

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Solution

The fourth proportional to 298,470.29, 411,868.20 and 169,411.40 is: 233,775.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,470.29 : 411,868.20 = 169,411.40 : x
  2. Step 2: Convert to fraction form
    298,470.29/411,868.20 = 169,411.40/x
  3. Step 3: Cross multiply
    298,470.29x = 411,868.20 × 169,411.40
  4. Step 4: Simplify right side
    298,470.29x = 69,775,168,497.94
  5. Step 5: Solve for x
    x = 69,775,168,497.94/298,470.29
  6. Step 6: Final answer
    x = 233,775.93

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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.