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Finding the Fourth Proportional to 381,301.88, 571,807.16 and 128,514.45

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Solution

The fourth proportional to 381,301.88, 571,807.16 and 128,514.45 is: 192,722.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,301.88 : 571,807.16 = 128,514.45 : x
  2. Step 2: Convert to fraction form
    381,301.88/571,807.16 = 128,514.45/x
  3. Step 3: Cross multiply
    381,301.88x = 571,807.16 × 128,514.45
  4. Step 4: Simplify right side
    381,301.88x = 73,485,482,030.89
  5. Step 5: Solve for x
    x = 73,485,482,030.89/381,301.88
  6. Step 6: Final answer
    x = 192,722.58

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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.