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Finding the Fourth Proportional to 340,424, 510,636 and 91,099.52

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Solution

The fourth proportional to 340,424, 510,636 and 91,099.52 is: 136,649.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,424 : 510,636 = 91,099.52 : x
  2. Step 2: Convert to fraction form
    340,424/510,636 = 91,099.52/x
  3. Step 3: Cross multiply
    340,424x = 510,636 × 91,099.52
  4. Step 4: Simplify right side
    340,424x = 46,518,694,494.72
  5. Step 5: Solve for x
    x = 46,518,694,494.72/340,424
  6. Step 6: Final answer
    x = 136,649.28

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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.