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Finding the Fourth Proportional to 410,208.40, 615,312.60 and 129,747.60

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Solution

The fourth proportional to 410,208.40, 615,312.60 and 129,747.60 is: 194,621.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,208.40 : 615,312.60 = 129,747.60 : x
  2. Step 2: Convert to fraction form
    410,208.40/615,312.60 = 129,747.60/x
  3. Step 3: Cross multiply
    410,208.40x = 615,312.60 × 129,747.60
  4. Step 4: Simplify right side
    410,208.40x = 79,835,333,099.76
  5. Step 5: Solve for x
    x = 79,835,333,099.76/410,208.40
  6. Step 6: Final answer
    x = 194,621.40

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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.