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Finding the Fourth Proportional to 286,581.60, 429,872.40 and 257,057.10

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Solution

The fourth proportional to 286,581.60, 429,872.40 and 257,057.10 is: 385,585.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,581.60 : 429,872.40 = 257,057.10 : x
  2. Step 2: Convert to fraction form
    286,581.60/429,872.40 = 257,057.10/x
  3. Step 3: Cross multiply
    286,581.60x = 429,872.40 × 257,057.10
  4. Step 4: Simplify right side
    286,581.60x = 110,501,752,514.04
  5. Step 5: Solve for x
    x = 110,501,752,514.04/286,581.60
  6. Step 6: Final answer
    x = 385,585.65

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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.