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Finding the Fourth Proportional to 410,310.36, 615,459.16 and 210,515.46

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Solution

The fourth proportional to 410,310.36, 615,459.16 and 210,515.46 is: 315,769.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,310.36 : 615,459.16 = 210,515.46 : x
  2. Step 2: Convert to fraction form
    410,310.36/615,459.16 = 210,515.46/x
  3. Step 3: Cross multiply
    410,310.36x = 615,459.16 × 210,515.46
  4. Step 4: Simplify right side
    410,310.36x = 129,563,666,133.79
  5. Step 5: Solve for x
    x = 129,563,666,133.79/410,310.36
  6. Step 6: Final answer
    x = 315,769.91

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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.