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Finding the Fourth Proportional to 420,556.29, 630,843.30 and 150,702.02

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Solution

The fourth proportional to 420,556.29, 630,843.30 and 150,702.02 is: 226,056.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,556.29 : 630,843.30 = 150,702.02 : x
  2. Step 2: Convert to fraction form
    420,556.29/630,843.30 = 150,702.02/x
  3. Step 3: Cross multiply
    420,556.29x = 630,843.30 × 150,702.02
  4. Step 4: Simplify right side
    420,556.29x = 95,069,356,459.25
  5. Step 5: Solve for x
    x = 95,069,356,459.25/420,556.29
  6. Step 6: Final answer
    x = 226,056.20

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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.