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Finding the Fourth Proportional to 314,843.51, 472,262.91 and 90,204.13

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Solution

The fourth proportional to 314,843.51, 472,262.91 and 90,204.13 is: 135,305.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,843.51 : 472,262.91 = 90,204.13 : x
  2. Step 2: Convert to fraction form
    314,843.51/472,262.91 = 90,204.13/x
  3. Step 3: Cross multiply
    314,843.51x = 472,262.91 × 90,204.13
  4. Step 4: Simplify right side
    314,843.51x = 42,600,065,179.88
  5. Step 5: Solve for x
    x = 42,600,065,179.88/314,843.51
  6. Step 6: Final answer
    x = 135,305.52

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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.