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Finding the Fourth Proportional to 420,820.30, 630,537.90 and 243,017.20

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Solution

The fourth proportional to 420,820.30, 630,537.90 and 243,017.20 is: 364,125.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,820.30 : 630,537.90 = 243,017.20 : x
  2. Step 2: Convert to fraction form
    420,820.30/630,537.90 = 243,017.20/x
  3. Step 3: Cross multiply
    420,820.30x = 630,537.90 × 243,017.20
  4. Step 4: Simplify right side
    420,820.30x = 153,231,554,951.88
  5. Step 5: Solve for x
    x = 153,231,554,951.88/420,820.30
  6. Step 6: Final answer
    x = 364,125.86

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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.