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Finding the Fourth Proportional to 381,262.47, 571,494.63 and 128,455.62

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Solution

The fourth proportional to 381,262.47, 571,494.63 and 128,455.62 is: 192,548.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,262.47 : 571,494.63 = 128,455.62 : x
  2. Step 2: Convert to fraction form
    381,262.47/571,494.63 = 128,455.62/x
  3. Step 3: Cross multiply
    381,262.47x = 571,494.63 × 128,455.62
  4. Step 4: Simplify right side
    381,262.47x = 73,411,697,023.32
  5. Step 5: Solve for x
    x = 73,411,697,023.32/381,262.47
  6. Step 6: Final answer
    x = 192,548.97

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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.