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Finding the Fourth Proportional to 354,815.10, 530,926.65 and 261,503.10

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Solution

The fourth proportional to 354,815.10, 530,926.65 and 261,503.10 is: 391,299.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,815.10 : 530,926.65 = 261,503.10 : x
  2. Step 2: Convert to fraction form
    354,815.10/530,926.65 = 261,503.10/x
  3. Step 3: Cross multiply
    354,815.10x = 530,926.65 × 261,503.10
  4. Step 4: Simplify right side
    354,815.10x = 138,838,964,847.62
  5. Step 5: Solve for x
    x = 138,838,964,847.62/354,815.10
  6. Step 6: Final answer
    x = 391,299.48

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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.