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Finding the Fourth Proportional to 426,064.10, 638,318.55 and 259,657.70

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Solution

The fourth proportional to 426,064.10, 638,318.55 and 259,657.70 is: 389,012.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,064.10 : 638,318.55 = 259,657.70 : x
  2. Step 2: Convert to fraction form
    426,064.10/638,318.55 = 259,657.70/x
  3. Step 3: Cross multiply
    426,064.10x = 638,318.55 × 259,657.70
  4. Step 4: Simplify right side
    426,064.10x = 165,744,326,560.34
  5. Step 5: Solve for x
    x = 165,744,326,560.34/426,064.10
  6. Step 6: Final answer
    x = 389,012.65

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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.