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Finding the Fourth Proportional to 457,665.43, 631,874.75 and 294,394.95

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Solution

The fourth proportional to 457,665.43, 631,874.75 and 294,394.95 is: 406,455.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,665.43 : 631,874.75 = 294,394.95 : x
  2. Step 2: Convert to fraction form
    457,665.43/631,874.75 = 294,394.95/x
  3. Step 3: Cross multiply
    457,665.43x = 631,874.75 × 294,394.95
  4. Step 4: Simplify right side
    457,665.43x = 186,020,735,432.51
  5. Step 5: Solve for x
    x = 186,020,735,432.51/457,665.43
  6. Step 6: Final answer
    x = 406,455.73

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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.