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Finding the Fourth Proportional to 218,999.72, 328,298.70 and 144,000.20

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Solution

The fourth proportional to 218,999.72, 328,298.70 and 144,000.20 is: 215,868.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,999.72 : 328,298.70 = 144,000.20 : x
  2. Step 2: Convert to fraction form
    218,999.72/328,298.70 = 144,000.20/x
  3. Step 3: Cross multiply
    218,999.72x = 328,298.70 × 144,000.20
  4. Step 4: Simplify right side
    218,999.72x = 47,275,078,459.74
  5. Step 5: Solve for x
    x = 47,275,078,459.74/218,999.72
  6. Step 6: Final answer
    x = 215,868.21

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1.5x scale

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.