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Finding the Fourth Proportional to 420,172.38, 630,094.32 and 146,549.52

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Solution

The fourth proportional to 420,172.38, 630,094.32 and 146,549.52 is: 219,766.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,172.38 : 630,094.32 = 146,549.52 : x
  2. Step 2: Convert to fraction form
    420,172.38/630,094.32 = 146,549.52/x
  3. Step 3: Cross multiply
    420,172.38x = 630,094.32 × 146,549.52
  4. Step 4: Simplify right side
    420,172.38x = 92,340,020,150.73
  5. Step 5: Solve for x
    x = 92,340,020,150.73/420,172.38
  6. Step 6: Final answer
    x = 219,766.99

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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.