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Finding the Fourth Proportional to 218,461.40, 328,037.70 and 159,709.40

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Solution

The fourth proportional to 218,461.40, 328,037.70 and 159,709.40 is: 239,816.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,461.40 : 328,037.70 = 159,709.40 : x
  2. Step 2: Convert to fraction form
    218,461.40/328,037.70 = 159,709.40/x
  3. Step 3: Cross multiply
    218,461.40x = 328,037.70 × 159,709.40
  4. Step 4: Simplify right side
    218,461.40x = 52,390,704,244.38
  5. Step 5: Solve for x
    x = 52,390,704,244.38/218,461.40
  6. Step 6: Final answer
    x = 239,816.76

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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.