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Finding the Fourth Proportional to 482,002.74, 665,138.16 and 278,041.50

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Solution

The fourth proportional to 482,002.74, 665,138.16 and 278,041.50 is: 383,682.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,002.74 : 665,138.16 = 278,041.50 : x
  2. Step 2: Convert to fraction form
    482,002.74/665,138.16 = 278,041.50/x
  3. Step 3: Cross multiply
    482,002.74x = 665,138.16 × 278,041.50
  4. Step 4: Simplify right side
    482,002.74x = 184,936,011,713.64
  5. Step 5: Solve for x
    x = 184,936,011,713.64/482,002.74
  6. Step 6: Final answer
    x = 383,682.49

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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.