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Finding the Fourth Proportional to 314,689.14, 471,968.10 and 115,103.52

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Solution

The fourth proportional to 314,689.14, 471,968.10 and 115,103.52 is: 172,631.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,689.14 : 471,968.10 = 115,103.52 : x
  2. Step 2: Convert to fraction form
    314,689.14/471,968.10 = 115,103.52/x
  3. Step 3: Cross multiply
    314,689.14x = 471,968.10 × 115,103.52
  4. Step 4: Simplify right side
    314,689.14x = 54,325,189,637.71
  5. Step 5: Solve for x
    x = 54,325,189,637.71/314,689.14
  6. Step 6: Final answer
    x = 172,631.28

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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.