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Finding the Fourth Proportional to 680,159.60, 1,020,277.80 and 206,860.40

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Solution

The fourth proportional to 680,159.60, 1,020,277.80 and 206,860.40 is: 310,302.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,159.60 : 1,020,277.80 = 206,860.40 : x
  2. Step 2: Convert to fraction form
    680,159.60/1,020,277.80 = 206,860.40/x
  3. Step 3: Cross multiply
    680,159.60x = 1,020,277.80 × 206,860.40
  4. Step 4: Simplify right side
    680,159.60x = 211,055,073,819.12
  5. Step 5: Solve for x
    x = 211,055,073,819.12/680,159.60
  6. Step 6: Final answer
    x = 310,302.28

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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.