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Finding the Fourth Proportional to 206,815.10, 288,950.65 and 206,815.10

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Solution

The fourth proportional to 206,815.10, 288,950.65 and 206,815.10 is: 288,950.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,815.10 : 288,950.65 = 206,815.10 : x
  2. Step 2: Convert to fraction form
    206,815.10/288,950.65 = 206,815.10/x
  3. Step 3: Cross multiply
    206,815.10x = 288,950.65 × 206,815.10
  4. Step 4: Simplify right side
    206,815.10x = 59,759,357,574.82
  5. Step 5: Solve for x
    x = 59,759,357,574.82/206,815.10
  6. Step 6: Final answer
    x = 288,950.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.