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Finding the Fourth Proportional to 665,226.90, 998,550.78 and 286,335.30

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Solution

The fourth proportional to 665,226.90, 998,550.78 and 286,335.30 is: 429,808.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,226.90 : 998,550.78 = 286,335.30 : x
  2. Step 2: Convert to fraction form
    665,226.90/998,550.78 = 286,335.30/x
  3. Step 3: Cross multiply
    665,226.90x = 998,550.78 × 286,335.30
  4. Step 4: Simplify right side
    665,226.90x = 285,920,337,156.53
  5. Step 5: Solve for x
    x = 285,920,337,156.53/665,226.90
  6. Step 6: Final answer
    x = 429,808.74

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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.