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Finding the Fourth Proportional to 386,590.80, 579,886.20 and 209,443.80

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Solution

The fourth proportional to 386,590.80, 579,886.20 and 209,443.80 is: 314,165.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,590.80 : 579,886.20 = 209,443.80 : x
  2. Step 2: Convert to fraction form
    386,590.80/579,886.20 = 209,443.80/x
  3. Step 3: Cross multiply
    386,590.80x = 579,886.20 × 209,443.80
  4. Step 4: Simplify right side
    386,590.80x = 121,453,569,295.56
  5. Step 5: Solve for x
    x = 121,453,569,295.56/386,590.80
  6. Step 6: Final answer
    x = 314,165.70

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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.