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Finding the Fourth Proportional to 513,204.30, 769,915.80 and 158,254.20

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Solution

The fourth proportional to 513,204.30, 769,915.80 and 158,254.20 is: 237,415.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,204.30 : 769,915.80 = 158,254.20 : x
  2. Step 2: Convert to fraction form
    513,204.30/769,915.80 = 158,254.20/x
  3. Step 3: Cross multiply
    513,204.30x = 769,915.80 × 158,254.20
  4. Step 4: Simplify right side
    513,204.30x = 121,842,408,996.36
  5. Step 5: Solve for x
    x = 121,842,408,996.36/513,204.30
  6. Step 6: Final answer
    x = 237,415.02

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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.