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Finding the Fourth Proportional to 420,103.31, 630,155.35 and 180,061.44

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Solution

The fourth proportional to 420,103.31, 630,155.35 and 180,061.44 is: 270,092.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,103.31 : 630,155.35 = 180,061.44 : x
  2. Step 2: Convert to fraction form
    420,103.31/630,155.35 = 180,061.44/x
  3. Step 3: Cross multiply
    420,103.31x = 630,155.35 × 180,061.44
  4. Step 4: Simplify right side
    420,103.31x = 113,466,677,775.39
  5. Step 5: Solve for x
    x = 113,466,677,775.39/420,103.31
  6. Step 6: Final answer
    x = 270,092.32

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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.