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Finding the Fourth Proportional to 457,945.66, 686,778.44 and 316,698.68

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Solution

The fourth proportional to 457,945.66, 686,778.44 and 316,698.68 is: 474,951.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,945.66 : 686,778.44 = 316,698.68 : x
  2. Step 2: Convert to fraction form
    457,945.66/686,778.44 = 316,698.68/x
  3. Step 3: Cross multiply
    457,945.66x = 686,778.44 × 316,698.68
  4. Step 4: Simplify right side
    457,945.66x = 217,501,825,400.46
  5. Step 5: Solve for x
    x = 217,501,825,400.46/457,945.66
  6. Step 6: Final answer
    x = 474,951.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.