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Finding the Fourth Proportional to 409,696.70, 615,005.85 and 316,615.10

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Solution

The fourth proportional to 409,696.70, 615,005.85 and 316,615.10 is: 475,278.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,696.70 : 615,005.85 = 316,615.10 : x
  2. Step 2: Convert to fraction form
    409,696.70/615,005.85 = 316,615.10/x
  3. Step 3: Cross multiply
    409,696.70x = 615,005.85 × 316,615.10
  4. Step 4: Simplify right side
    409,696.70x = 194,720,138,698.34
  5. Step 5: Solve for x
    x = 194,720,138,698.34/409,696.70
  6. Step 6: Final answer
    x = 475,278.76

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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.