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Finding the Fourth Proportional to 286,581.60, 429,872.40 and 259,025.40

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Solution

The fourth proportional to 286,581.60, 429,872.40 and 259,025.40 is: 388,538.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,581.60 : 429,872.40 = 259,025.40 : x
  2. Step 2: Convert to fraction form
    286,581.60/429,872.40 = 259,025.40/x
  3. Step 3: Cross multiply
    286,581.60x = 429,872.40 × 259,025.40
  4. Step 4: Simplify right side
    286,581.60x = 111,347,870,358.96
  5. Step 5: Solve for x
    x = 111,347,870,358.96/286,581.60
  6. Step 6: Final answer
    x = 388,538.10

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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.