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Finding the Fourth Proportional to 377,460, 566,277.48 and 128,142

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Solution

The fourth proportional to 377,460, 566,277.48 and 128,142 is: 192,242.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,460 : 566,277.48 = 128,142 : x
  2. Step 2: Convert to fraction form
    377,460/566,277.48 = 128,142/x
  3. Step 3: Cross multiply
    377,460x = 566,277.48 × 128,142
  4. Step 4: Simplify right side
    377,460x = 72,563,928,842.16
  5. Step 5: Solve for x
    x = 72,563,928,842.16/377,460
  6. Step 6: Final answer
    x = 192,242.70

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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.