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Finding the Fourth Proportional to 315,634.82, 473,140.56 and 125,980.91

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Solution

The fourth proportional to 315,634.82, 473,140.56 and 125,980.91 is: 188,846.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,634.82 : 473,140.56 = 125,980.91 : x
  2. Step 2: Convert to fraction form
    315,634.82/473,140.56 = 125,980.91/x
  3. Step 3: Cross multiply
    315,634.82x = 473,140.56 × 125,980.91
  4. Step 4: Simplify right side
    315,634.82x = 59,606,675,941.01
  5. Step 5: Solve for x
    x = 59,606,675,941.01/315,634.82
  6. Step 6: Final answer
    x = 188,846.96

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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.