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Finding the Fourth Proportional to 384,088.56, 576,143.37 and 103,605

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Solution

The fourth proportional to 384,088.56, 576,143.37 and 103,605 is: 155,410.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,088.56 : 576,143.37 = 103,605 : x
  2. Step 2: Convert to fraction form
    384,088.56/576,143.37 = 103,605/x
  3. Step 3: Cross multiply
    384,088.56x = 576,143.37 × 103,605
  4. Step 4: Simplify right side
    384,088.56x = 59,691,333,848.85
  5. Step 5: Solve for x
    x = 59,691,333,848.85/384,088.56
  6. Step 6: Final answer
    x = 155,410.34

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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.