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Finding the Fourth Proportional to 340,026.78, 510,021.70 and 103,351

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Solution

The fourth proportional to 340,026.78, 510,021.70 and 103,351 is: 155,020.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,026.78 : 510,021.70 = 103,351 : x
  2. Step 2: Convert to fraction form
    340,026.78/510,021.70 = 103,351/x
  3. Step 3: Cross multiply
    340,026.78x = 510,021.70 × 103,351
  4. Step 4: Simplify right side
    340,026.78x = 52,711,252,716.70
  5. Step 5: Solve for x
    x = 52,711,252,716.70/340,026.78
  6. Step 6: Final answer
    x = 155,020.89

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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.