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Finding the Fourth Proportional to 409,715.20, 615,033.60 and 316,633.60

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Solution

The fourth proportional to 409,715.20, 615,033.60 and 316,633.60 is: 475,306.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,715.20 : 615,033.60 = 316,633.60 : x
  2. Step 2: Convert to fraction form
    409,715.20/615,033.60 = 316,633.60/x
  3. Step 3: Cross multiply
    409,715.20x = 615,033.60 × 316,633.60
  4. Step 4: Simplify right side
    409,715.20x = 194,740,302,888.96
  5. Step 5: Solve for x
    x = 194,740,302,888.96/409,715.20
  6. Step 6: Final answer
    x = 475,306.51

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1.5x scale

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.