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Finding the Fourth Proportional to 469,611.70, 704,417.55 and 311,326.90

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Solution

The fourth proportional to 469,611.70, 704,417.55 and 311,326.90 is: 466,990.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,611.70 : 704,417.55 = 311,326.90 : x
  2. Step 2: Convert to fraction form
    469,611.70/704,417.55 = 311,326.90/x
  3. Step 3: Cross multiply
    469,611.70x = 704,417.55 × 311,326.90
  4. Step 4: Simplify right side
    469,611.70x = 219,304,132,147.10
  5. Step 5: Solve for x
    x = 219,304,132,147.10/469,611.70
  6. Step 6: Final answer
    x = 466,990.35

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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.