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Finding the Fourth Proportional to 381,288.95, 571,808.05 and 128,501.32

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Solution

The fourth proportional to 381,288.95, 571,808.05 and 128,501.32 is: 192,709.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,288.95 : 571,808.05 = 128,501.32 : x
  2. Step 2: Convert to fraction form
    381,288.95/571,808.05 = 128,501.32/x
  3. Step 3: Cross multiply
    381,288.95x = 571,808.05 × 128,501.32
  4. Step 4: Simplify right side
    381,288.95x = 73,478,087,460.85
  5. Step 5: Solve for x
    x = 73,478,087,460.85/381,288.95
  6. Step 6: Final answer
    x = 192,709.72

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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.