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Finding the Fourth Proportional to 218,470.40, 328,051.20 and 159,718.40

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Solution

The fourth proportional to 218,470.40, 328,051.20 and 159,718.40 is: 239,830.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,470.40 : 328,051.20 = 159,718.40 : x
  2. Step 2: Convert to fraction form
    218,470.40/328,051.20 = 159,718.40/x
  3. Step 3: Cross multiply
    218,470.40x = 328,051.20 × 159,718.40
  4. Step 4: Simplify right side
    218,470.40x = 52,395,812,782.08
  5. Step 5: Solve for x
    x = 52,395,812,782.08/218,470.40
  6. Step 6: Final answer
    x = 239,830.26

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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.