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Finding the Fourth Proportional to 507,731.85, 700,654.74 and 278,284.17

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Solution

The fourth proportional to 507,731.85, 700,654.74 and 278,284.17 is: 384,023.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,731.85 : 700,654.74 = 278,284.17 : x
  2. Step 2: Convert to fraction form
    507,731.85/700,654.74 = 278,284.17/x
  3. Step 3: Cross multiply
    507,731.85x = 700,654.74 × 278,284.17
  4. Step 4: Simplify right side
    507,731.85x = 194,981,122,777.47
  5. Step 5: Solve for x
    x = 194,981,122,777.47/507,731.85
  6. Step 6: Final answer
    x = 384,023.82

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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.