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Finding the Fourth Proportional to 315,178.42, 472,758.99 and 104,820.34

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Solution

The fourth proportional to 315,178.42, 472,758.99 and 104,820.34 is: 157,227.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,178.42 : 472,758.99 = 104,820.34 : x
  2. Step 2: Convert to fraction form
    315,178.42/472,758.99 = 104,820.34/x
  3. Step 3: Cross multiply
    315,178.42x = 472,758.99 × 104,820.34
  4. Step 4: Simplify right side
    315,178.42x = 49,554,758,069.86
  5. Step 5: Solve for x
    x = 49,554,758,069.86/315,178.42
  6. Step 6: Final answer
    x = 157,227.64

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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.