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Finding the Fourth Proportional to 410,586.80, 615,419.40 and 173,889.20

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Solution

The fourth proportional to 410,586.80, 615,419.40 and 173,889.20 is: 260,638.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,586.80 : 615,419.40 = 173,889.20 : x
  2. Step 2: Convert to fraction form
    410,586.80/615,419.40 = 173,889.20/x
  3. Step 3: Cross multiply
    410,586.80x = 615,419.40 × 173,889.20
  4. Step 4: Simplify right side
    410,586.80x = 107,014,787,130.48
  5. Step 5: Solve for x
    x = 107,014,787,130.48/410,586.80
  6. Step 6: Final answer
    x = 260,638.64

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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.