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Finding the Fourth Proportional to 386,716.80, 580,075.20 and 209,569.80

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Solution

The fourth proportional to 386,716.80, 580,075.20 and 209,569.80 is: 314,354.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,716.80 : 580,075.20 = 209,569.80 : x
  2. Step 2: Convert to fraction form
    386,716.80/580,075.20 = 209,569.80/x
  3. Step 3: Cross multiply
    386,716.80x = 580,075.20 × 209,569.80
  4. Step 4: Simplify right side
    386,716.80x = 121,566,243,648.96
  5. Step 5: Solve for x
    x = 121,566,243,648.96/386,716.80
  6. Step 6: Final answer
    x = 314,354.70

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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.