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Finding the Fourth Proportional to 409,703.20, 615,015.60 and 316,621.60

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Solution

The fourth proportional to 409,703.20, 615,015.60 and 316,621.60 is: 475,288.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,703.20 : 615,015.60 = 316,621.60 : x
  2. Step 2: Convert to fraction form
    409,703.20/615,015.60 = 316,621.60/x
  3. Step 3: Cross multiply
    409,703.20x = 615,015.60 × 316,621.60
  4. Step 4: Simplify right side
    409,703.20x = 194,727,223,296.96
  5. Step 5: Solve for x
    x = 194,727,223,296.96/409,703.20
  6. Step 6: Final answer
    x = 475,288.51

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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.