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Finding the Fourth Proportional to 389,604.42, 584,403.56 and 209,774.10

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Solution

The fourth proportional to 389,604.42, 584,403.56 and 209,774.10 is: 314,659.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,604.42 : 584,403.56 = 209,774.10 : x
  2. Step 2: Convert to fraction form
    389,604.42/584,403.56 = 209,774.10/x
  3. Step 3: Cross multiply
    389,604.42x = 584,403.56 × 209,774.10
  4. Step 4: Simplify right side
    389,604.42x = 122,592,730,835.80
  5. Step 5: Solve for x
    x = 122,592,730,835.80/389,604.42
  6. Step 6: Final answer
    x = 314,659.50

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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.