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Finding the Fourth Proportional to 559,398, 771,942.24 and 317,648.64

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Solution

The fourth proportional to 559,398, 771,942.24 and 317,648.64 is: 438,339.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,398 : 771,942.24 = 317,648.64 : x
  2. Step 2: Convert to fraction form
    559,398/771,942.24 = 317,648.64/x
  3. Step 3: Cross multiply
    559,398x = 771,942.24 × 317,648.64
  4. Step 4: Simplify right side
    559,398x = 245,206,402,694.55
  5. Step 5: Solve for x
    x = 245,206,402,694.55/559,398
  6. Step 6: Final answer
    x = 438,339.79

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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.