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Finding the Fourth Proportional to 389,428.55, 584,221.80 and 221,029.55

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Solution

The fourth proportional to 389,428.55, 584,221.80 and 221,029.55 is: 331,589.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,428.55 : 584,221.80 = 221,029.55 : x
  2. Step 2: Convert to fraction form
    389,428.55/584,221.80 = 221,029.55/x
  3. Step 3: Cross multiply
    389,428.55x = 584,221.80 × 221,029.55
  4. Step 4: Simplify right side
    389,428.55x = 129,130,281,554.19
  5. Step 5: Solve for x
    x = 129,130,281,554.19/389,428.55
  6. Step 6: Final answer
    x = 331,589.15

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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.