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Finding the Fourth Proportional to 354,311.10, 530,170.65 and 260,999.10

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Solution

The fourth proportional to 354,311.10, 530,170.65 and 260,999.10 is: 390,543.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,311.10 : 530,170.65 = 260,999.10 : x
  2. Step 2: Convert to fraction form
    354,311.10/530,170.65 = 260,999.10/x
  3. Step 3: Cross multiply
    354,311.10x = 530,170.65 × 260,999.10
  4. Step 4: Simplify right side
    354,311.10x = 138,374,062,496.42
  5. Step 5: Solve for x
    x = 138,374,062,496.42/354,311.10
  6. Step 6: Final answer
    x = 390,543.97

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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.