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Finding the Fourth Proportional to 328,404.68, 492,801.58 and 138,854.70

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Solution

The fourth proportional to 328,404.68, 492,801.58 and 138,854.70 is: 208,364.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,404.68 : 492,801.58 = 138,854.70 : x
  2. Step 2: Convert to fraction form
    328,404.68/492,801.58 = 138,854.70/x
  3. Step 3: Cross multiply
    328,404.68x = 492,801.58 × 138,854.70
  4. Step 4: Simplify right side
    328,404.68x = 68,427,815,550.43
  5. Step 5: Solve for x
    x = 68,427,815,550.43/328,404.68
  6. Step 6: Final answer
    x = 208,364.31

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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.