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Finding the Fourth Proportional to 386,409.24, 579,780.72 and 209,041.20

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Solution

The fourth proportional to 386,409.24, 579,780.72 and 209,041.20 is: 313,652.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,409.24 : 579,780.72 = 209,041.20 : x
  2. Step 2: Convert to fraction form
    386,409.24/579,780.72 = 209,041.20/x
  3. Step 3: Cross multiply
    386,409.24x = 579,780.72 × 209,041.20
  4. Step 4: Simplify right side
    386,409.24x = 121,198,057,445.66
  5. Step 5: Solve for x
    x = 121,198,057,445.66/386,409.24
  6. Step 6: Final answer
    x = 313,652.07

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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.