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Finding the Fourth Proportional to 218,995.14, 328,492.71 and 52,783.14

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Solution

The fourth proportional to 218,995.14, 328,492.71 and 52,783.14 is: 79,174.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,995.14 : 328,492.71 = 52,783.14 : x
  2. Step 2: Convert to fraction form
    218,995.14/328,492.71 = 52,783.14/x
  3. Step 3: Cross multiply
    218,995.14x = 328,492.71 × 52,783.14
  4. Step 4: Simplify right side
    218,995.14x = 17,338,876,700.91
  5. Step 5: Solve for x
    x = 17,338,876,700.91/218,995.14
  6. Step 6: Final answer
    x = 79,174.71

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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.