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Finding the Fourth Proportional to 420,498.80, 630,102.34 and 285,387.30

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Solution

The fourth proportional to 420,498.80, 630,102.34 and 285,387.30 is: 427,642.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,498.80 : 630,102.34 = 285,387.30 : x
  2. Step 2: Convert to fraction form
    420,498.80/630,102.34 = 285,387.30/x
  3. Step 3: Cross multiply
    420,498.80x = 630,102.34 × 285,387.30
  4. Step 4: Simplify right side
    420,498.80x = 179,823,205,536.28
  5. Step 5: Solve for x
    x = 179,823,205,536.28/420,498.80
  6. Step 6: Final answer
    x = 427,642.61

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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.