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Finding the Fourth Proportional to 314,494.90, 471,305.91 and 143,298.23

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Solution

The fourth proportional to 314,494.90, 471,305.91 and 143,298.23 is: 214,748.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,494.90 : 471,305.91 = 143,298.23 : x
  2. Step 2: Convert to fraction form
    314,494.90/471,305.91 = 143,298.23/x
  3. Step 3: Cross multiply
    314,494.90x = 471,305.91 × 143,298.23
  4. Step 4: Simplify right side
    314,494.90x = 67,537,302,691.54
  5. Step 5: Solve for x
    x = 67,537,302,691.54/314,494.90
  6. Step 6: Final answer
    x = 214,748.48

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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.