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Finding the Fourth Proportional to 281,646.20, 421,691.70 and 219,438.20

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Solution

The fourth proportional to 281,646.20, 421,691.70 and 219,438.20 is: 328,551.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,646.20 : 421,691.70 = 219,438.20 : x
  2. Step 2: Convert to fraction form
    281,646.20/421,691.70 = 219,438.20/x
  3. Step 3: Cross multiply
    281,646.20x = 421,691.70 × 219,438.20
  4. Step 4: Simplify right side
    281,646.20x = 92,535,267,602.94
  5. Step 5: Solve for x
    x = 92,535,267,602.94/281,646.20
  6. Step 6: Final answer
    x = 328,551.45

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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.