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Finding the Fourth Proportional to 548,060.64, 820,023.80 and 323,543.20

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Solution

The fourth proportional to 548,060.64, 820,023.80 and 323,543.20 is: 484,094.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,060.64 : 820,023.80 = 323,543.20 : x
  2. Step 2: Convert to fraction form
    548,060.64/820,023.80 = 323,543.20/x
  3. Step 3: Cross multiply
    548,060.64x = 820,023.80 × 323,543.20
  4. Step 4: Simplify right side
    548,060.64x = 265,313,124,328.16
  5. Step 5: Solve for x
    x = 265,313,124,328.16/548,060.64
  6. Step 6: Final answer
    x = 484,094.47

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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.