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Finding the Fourth Proportional to 381,259.84, 571,490.74 and 128,453

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Solution

The fourth proportional to 381,259.84, 571,490.74 and 128,453 is: 192,545.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,259.84 : 571,490.74 = 128,453 : x
  2. Step 2: Convert to fraction form
    381,259.84/571,490.74 = 128,453/x
  3. Step 3: Cross multiply
    381,259.84x = 571,490.74 × 128,453
  4. Step 4: Simplify right side
    381,259.84x = 73,409,700,025.22
  5. Step 5: Solve for x
    x = 73,409,700,025.22/381,259.84
  6. Step 6: Final answer
    x = 192,545.06

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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.