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Finding the Fourth Proportional to 347,410, 479,425.80 and 188,434

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Solution

The fourth proportional to 347,410, 479,425.80 and 188,434 is: 260,038.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,410 : 479,425.80 = 188,434 : x
  2. Step 2: Convert to fraction form
    347,410/479,425.80 = 188,434/x
  3. Step 3: Cross multiply
    347,410x = 479,425.80 × 188,434
  4. Step 4: Simplify right side
    347,410x = 90,340,121,197.20
  5. Step 5: Solve for x
    x = 90,340,121,197.20/347,410
  6. Step 6: Final answer
    x = 260,038.92

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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.