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Finding the Fourth Proportional to 377,496, 566,331.54 and 128,178

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Solution

The fourth proportional to 377,496, 566,331.54 and 128,178 is: 192,296.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,496 : 566,331.54 = 128,178 : x
  2. Step 2: Convert to fraction form
    377,496/566,331.54 = 128,178/x
  3. Step 3: Cross multiply
    377,496x = 566,331.54 × 128,178
  4. Step 4: Simplify right side
    377,496x = 72,591,244,134.12
  5. Step 5: Solve for x
    x = 72,591,244,134.12/377,496
  6. Step 6: Final answer
    x = 192,296.72

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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.