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Finding the Fourth Proportional to 218,963.20, 328,412.40 and 61,207.60

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Solution

The fourth proportional to 218,963.20, 328,412.40 and 61,207.60 is: 91,802.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,963.20 : 328,412.40 = 61,207.60 : x
  2. Step 2: Convert to fraction form
    218,963.20/328,412.40 = 61,207.60/x
  3. Step 3: Cross multiply
    218,963.20x = 328,412.40 × 61,207.60
  4. Step 4: Simplify right side
    218,963.20x = 20,101,334,814.24
  5. Step 5: Solve for x
    x = 20,101,334,814.24/218,963.20
  6. Step 6: Final answer
    x = 91,802.34

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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.