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Finding the Fourth Proportional to 315,275.66, 472,900.25 and 146,738.01

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Solution

The fourth proportional to 315,275.66, 472,900.25 and 146,738.01 is: 220,100.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,275.66 : 472,900.25 = 146,738.01 : x
  2. Step 2: Convert to fraction form
    315,275.66/472,900.25 = 146,738.01/x
  3. Step 3: Cross multiply
    315,275.66x = 472,900.25 × 146,738.01
  4. Step 4: Simplify right side
    315,275.66x = 69,392,441,613.50
  5. Step 5: Solve for x
    x = 69,392,441,613.50/315,275.66
  6. Step 6: Final answer
    x = 220,100.86

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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.