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Finding the Fourth Proportional to 409,903.20, 615,315.60 and 316,821.60

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Solution

The fourth proportional to 409,903.20, 615,315.60 and 316,821.60 is: 475,588.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,903.20 : 615,315.60 = 316,821.60 : x
  2. Step 2: Convert to fraction form
    409,903.20/615,315.60 = 316,821.60/x
  3. Step 3: Cross multiply
    409,903.20x = 615,315.60 × 316,821.60
  4. Step 4: Simplify right side
    409,903.20x = 194,945,272,896.96
  5. Step 5: Solve for x
    x = 194,945,272,896.96/409,903.20
  6. Step 6: Final answer
    x = 475,588.56

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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.