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Finding the Fourth Proportional to 388,990.16, 583,251.94 and 178,364.24

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Solution

The fourth proportional to 388,990.16, 583,251.94 and 178,364.24 is: 267,439.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,990.16 : 583,251.94 = 178,364.24 : x
  2. Step 2: Convert to fraction form
    388,990.16/583,251.94 = 178,364.24/x
  3. Step 3: Cross multiply
    388,990.16x = 583,251.94 × 178,364.24
  4. Step 4: Simplify right side
    388,990.16x = 104,031,289,006.63
  5. Step 5: Solve for x
    x = 104,031,289,006.63/388,990.16
  6. Step 6: Final answer
    x = 267,439.38

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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.