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Finding the Fourth Proportional to 315,059.22, 472,588.94 and 78,401.90

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Solution

The fourth proportional to 315,059.22, 472,588.94 and 78,401.90 is: 117,602.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,059.22 : 472,588.94 = 78,401.90 : x
  2. Step 2: Convert to fraction form
    315,059.22/472,588.94 = 78,401.90/x
  3. Step 3: Cross multiply
    315,059.22x = 472,588.94 × 78,401.90
  4. Step 4: Simplify right side
    315,059.22x = 37,051,870,973.56
  5. Step 5: Solve for x
    x = 37,051,870,973.56/315,059.22
  6. Step 6: Final answer
    x = 117,602.88

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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.