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Finding the Fourth Proportional to 476,281.78, 657,301.71 and 314,856.88

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Solution

The fourth proportional to 476,281.78, 657,301.71 and 314,856.88 is: 434,524.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,281.78 : 657,301.71 = 314,856.88 : x
  2. Step 2: Convert to fraction form
    476,281.78/657,301.71 = 314,856.88/x
  3. Step 3: Cross multiply
    476,281.78x = 657,301.71 × 314,856.88
  4. Step 4: Simplify right side
    476,281.78x = 206,955,965,629.27
  5. Step 5: Solve for x
    x = 206,955,965,629.27/476,281.78
  6. Step 6: Final answer
    x = 434,524.21

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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.