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Finding the Fourth Proportional to 218,824.80, 328,237.20 and 144,045.60

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Solution

The fourth proportional to 218,824.80, 328,237.20 and 144,045.60 is: 216,068.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,824.80 : 328,237.20 = 144,045.60 : x
  2. Step 2: Convert to fraction form
    218,824.80/328,237.20 = 144,045.60/x
  3. Step 3: Cross multiply
    218,824.80x = 328,237.20 × 144,045.60
  4. Step 4: Simplify right side
    218,824.80x = 47,281,124,416.32
  5. Step 5: Solve for x
    x = 47,281,124,416.32/218,824.80
  6. Step 6: Final answer
    x = 216,068.40

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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.