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Finding the Fourth Proportional to 471,587.20, 650,769.12 and 256,721.76

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Solution

The fourth proportional to 471,587.20, 650,769.12 and 256,721.76 is: 354,264.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,587.20 : 650,769.12 = 256,721.76 : x
  2. Step 2: Convert to fraction form
    471,587.20/650,769.12 = 256,721.76/x
  3. Step 3: Cross multiply
    471,587.20x = 650,769.12 × 256,721.76
  4. Step 4: Simplify right side
    471,587.20x = 167,066,593,840.05
  5. Step 5: Solve for x
    x = 167,066,593,840.05/471,587.20
  6. Step 6: Final answer
    x = 354,264.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.