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Finding the Fourth Proportional to 340,010.68, 510,074.36 and 103,377.28

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Solution

The fourth proportional to 340,010.68, 510,074.36 and 103,377.28 is: 155,083.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,010.68 : 510,074.36 = 103,377.28 : x
  2. Step 2: Convert to fraction form
    340,010.68/510,074.36 = 103,377.28/x
  3. Step 3: Cross multiply
    340,010.68x = 510,074.36 × 103,377.28
  4. Step 4: Simplify right side
    340,010.68x = 52,730,099,934.54
  5. Step 5: Solve for x
    x = 52,730,099,934.54/340,010.68
  6. Step 6: Final answer
    x = 155,083.66

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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.