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Finding the Fourth Proportional to 219,248, 328,882.80 and 71,504

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Solution

The fourth proportional to 219,248, 328,882.80 and 71,504 is: 107,259.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,248 : 328,882.80 = 71,504 : x
  2. Step 2: Convert to fraction form
    219,248/328,882.80 = 71,504/x
  3. Step 3: Cross multiply
    219,248x = 328,882.80 × 71,504
  4. Step 4: Simplify right side
    219,248x = 23,516,435,731.20
  5. Step 5: Solve for x
    x = 23,516,435,731.20/219,248
  6. Step 6: Final answer
    x = 107,259.52

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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.