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Finding the Fourth Proportional to 504,142.38, 695,497.91 and 300,078.90

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Solution

The fourth proportional to 504,142.38, 695,497.91 and 300,078.90 is: 413,978.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,142.38 : 695,497.91 = 300,078.90 : x
  2. Step 2: Convert to fraction form
    504,142.38/695,497.91 = 300,078.90/x
  3. Step 3: Cross multiply
    504,142.38x = 695,497.91 × 300,078.90
  4. Step 4: Simplify right side
    504,142.38x = 208,704,246,284.71
  5. Step 5: Solve for x
    x = 208,704,246,284.71/504,142.38
  6. Step 6: Final answer
    x = 413,978.78

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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.