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Finding the Fourth Proportional to 377,462, 566,280.48 and 128,144

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Solution

The fourth proportional to 377,462, 566,280.48 and 128,144 is: 192,245.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,462 : 566,280.48 = 128,144 : x
  2. Step 2: Convert to fraction form
    377,462/566,280.48 = 128,144/x
  3. Step 3: Cross multiply
    377,462x = 566,280.48 × 128,144
  4. Step 4: Simplify right side
    377,462x = 72,565,445,829.12
  5. Step 5: Solve for x
    x = 72,565,445,829.12/377,462
  6. Step 6: Final answer
    x = 192,245.70

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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.