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Finding the Fourth Proportional to 340,408, 510,612 and 91,083.52

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Solution

The fourth proportional to 340,408, 510,612 and 91,083.52 is: 136,625.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,408 : 510,612 = 91,083.52 : x
  2. Step 2: Convert to fraction form
    340,408/510,612 = 91,083.52/x
  3. Step 3: Cross multiply
    340,408x = 510,612 × 91,083.52
  4. Step 4: Simplify right side
    340,408x = 46,508,338,314.24
  5. Step 5: Solve for x
    x = 46,508,338,314.24/340,408
  6. Step 6: Final answer
    x = 136,625.28

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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.