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Finding the Fourth Proportional to 218,839.60, 328,259.40 and 130,047.40

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Solution

The fourth proportional to 218,839.60, 328,259.40 and 130,047.40 is: 195,071.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,839.60 : 328,259.40 = 130,047.40 : x
  2. Step 2: Convert to fraction form
    218,839.60/328,259.40 = 130,047.40/x
  3. Step 3: Cross multiply
    218,839.60x = 328,259.40 × 130,047.40
  4. Step 4: Simplify right side
    218,839.60x = 42,689,281,495.56
  5. Step 5: Solve for x
    x = 42,689,281,495.56/218,839.60
  6. Step 6: Final answer
    x = 195,071.10

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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.