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Finding the Fourth Proportional to 381,395.04, 571,983.48 and 153,690

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Solution

The fourth proportional to 381,395.04, 571,983.48 and 153,690 is: 230,491.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,395.04 : 571,983.48 = 153,690 : x
  2. Step 2: Convert to fraction form
    381,395.04/571,983.48 = 153,690/x
  3. Step 3: Cross multiply
    381,395.04x = 571,983.48 × 153,690
  4. Step 4: Simplify right side
    381,395.04x = 87,908,141,041.20
  5. Step 5: Solve for x
    x = 87,908,141,041.20/381,395.04
  6. Step 6: Final answer
    x = 230,491.04

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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.