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Finding the Fourth Proportional to 260,139.42, 358,886.16 and 206,208

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Solution

The fourth proportional to 260,139.42, 358,886.16 and 206,208 is: 284,482.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,139.42 : 358,886.16 = 206,208 : x
  2. Step 2: Convert to fraction form
    260,139.42/358,886.16 = 206,208/x
  3. Step 3: Cross multiply
    260,139.42x = 358,886.16 × 206,208
  4. Step 4: Simplify right side
    260,139.42x = 74,005,197,281.28
  5. Step 5: Solve for x
    x = 74,005,197,281.28/260,139.42
  6. Step 6: Final answer
    x = 284,482.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.