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Finding the Fourth Proportional to 377,468, 566,289.48 and 128,150

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Solution

The fourth proportional to 377,468, 566,289.48 and 128,150 is: 192,254.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,468 : 566,289.48 = 128,150 : x
  2. Step 2: Convert to fraction form
    377,468/566,289.48 = 128,150/x
  3. Step 3: Cross multiply
    377,468x = 566,289.48 × 128,150
  4. Step 4: Simplify right side
    377,468x = 72,569,996,862
  5. Step 5: Solve for x
    x = 72,569,996,862/377,468
  6. Step 6: Final answer
    x = 192,254.70

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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.