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Finding the Fourth Proportional to 388,994.10, 583,509.39 and 189,076.18

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Solution

The fourth proportional to 388,994.10, 583,509.39 and 189,076.18 is: 283,623.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,994.10 : 583,509.39 = 189,076.18 : x
  2. Step 2: Convert to fraction form
    388,994.10/583,509.39 = 189,076.18/x
  3. Step 3: Cross multiply
    388,994.10x = 583,509.39 × 189,076.18
  4. Step 4: Simplify right side
    388,994.10x = 110,327,726,455.33
  5. Step 5: Solve for x
    x = 110,327,726,455.33/388,994.10
  6. Step 6: Final answer
    x = 283,623.14

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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.