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Finding the Fourth Proportional to 548,064.64, 820,029.80 and 323,547.20

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Solution

The fourth proportional to 548,064.64, 820,029.80 and 323,547.20 is: 484,100.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,064.64 : 820,029.80 = 323,547.20 : x
  2. Step 2: Convert to fraction form
    548,064.64/820,029.80 = 323,547.20/x
  3. Step 3: Cross multiply
    548,064.64x = 820,029.80 × 323,547.20
  4. Step 4: Simplify right side
    548,064.64x = 265,318,345,706.56
  5. Step 5: Solve for x
    x = 265,318,345,706.56/548,064.64
  6. Step 6: Final answer
    x = 484,100.46

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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.