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Finding the Fourth Proportional to 218,738, 301,989.66 and 143,417.72

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Solution

The fourth proportional to 218,738, 301,989.66 and 143,417.72 is: 198,002.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,738 : 301,989.66 = 143,417.72 : x
  2. Step 2: Convert to fraction form
    218,738/301,989.66 = 143,417.72/x
  3. Step 3: Cross multiply
    218,738x = 301,989.66 × 143,417.72
  4. Step 4: Simplify right side
    218,738x = 43,310,668,500.78
  5. Step 5: Solve for x
    x = 43,310,668,500.78/218,738
  6. Step 6: Final answer
    x = 198,002.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.