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Finding the Fourth Proportional to 270,417.74, 405,649.62 and 70,737.82

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Solution

The fourth proportional to 270,417.74, 405,649.62 and 70,737.82 is: 106,112.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,417.74 : 405,649.62 = 70,737.82 : x
  2. Step 2: Convert to fraction form
    270,417.74/405,649.62 = 70,737.82/x
  3. Step 3: Cross multiply
    270,417.74x = 405,649.62 × 70,737.82
  4. Step 4: Simplify right side
    270,417.74x = 28,694,768,788.50
  5. Step 5: Solve for x
    x = 28,694,768,788.50/270,417.74
  6. Step 6: Final answer
    x = 106,112.75

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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.