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Finding the Fourth Proportional to 462,400.40, 693,139.80 and 212,646.80

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Solution

The fourth proportional to 462,400.40, 693,139.80 and 212,646.80 is: 318,758.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,400.40 : 693,139.80 = 212,646.80 : x
  2. Step 2: Convert to fraction form
    462,400.40/693,139.80 = 212,646.80/x
  3. Step 3: Cross multiply
    462,400.40x = 693,139.80 × 212,646.80
  4. Step 4: Simplify right side
    462,400.40x = 147,393,960,422.64
  5. Step 5: Solve for x
    x = 147,393,960,422.64/462,400.40
  6. Step 6: Final answer
    x = 318,758.29

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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.