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Finding the Fourth Proportional to 507,540, 700,434.60 and 278,097.72

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Solution

The fourth proportional to 507,540, 700,434.60 and 278,097.72 is: 383,790.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,540 : 700,434.60 = 278,097.72 : x
  2. Step 2: Convert to fraction form
    507,540/700,434.60 = 278,097.72/x
  3. Step 3: Cross multiply
    507,540x = 700,434.60 × 278,097.72
  4. Step 4: Simplify right side
    507,540x = 194,789,265,269.11
  5. Step 5: Solve for x
    x = 194,789,265,269.11/507,540
  6. Step 6: Final answer
    x = 383,790.96

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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.