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Finding the Fourth Proportional to 389,379.60, 584,066.78 and 209,549.66

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Solution

The fourth proportional to 389,379.60, 584,066.78 and 209,549.66 is: 314,323.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,379.60 : 584,066.78 = 209,549.66 : x
  2. Step 2: Convert to fraction form
    389,379.60/584,066.78 = 209,549.66/x
  3. Step 3: Cross multiply
    389,379.60x = 584,066.78 × 209,549.66
  4. Step 4: Simplify right side
    389,379.60x = 122,390,995,166.30
  5. Step 5: Solve for x
    x = 122,390,995,166.30/389,379.60
  6. Step 6: Final answer
    x = 314,323.08

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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.