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Finding the Fourth Proportional to 315,281.74, 472,917.63 and 146,707.78

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Solution

The fourth proportional to 315,281.74, 472,917.63 and 146,707.78 is: 220,059.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,281.74 : 472,917.63 = 146,707.78 : x
  2. Step 2: Convert to fraction form
    315,281.74/472,917.63 = 146,707.78/x
  3. Step 3: Cross multiply
    315,281.74x = 472,917.63 × 146,707.78
  4. Step 4: Simplify right side
    315,281.74x = 69,380,695,620.16
  5. Step 5: Solve for x
    x = 69,380,695,620.16/315,281.74
  6. Step 6: Final answer
    x = 220,059.35

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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.