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Finding the Fourth Proportional to 289,076.95, 398,926.72 and 160,024.41

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Solution

The fourth proportional to 289,076.95, 398,926.72 and 160,024.41 is: 220,833.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,076.95 : 398,926.72 = 160,024.41 : x
  2. Step 2: Convert to fraction form
    289,076.95/398,926.72 = 160,024.41/x
  3. Step 3: Cross multiply
    289,076.95x = 398,926.72 × 160,024.41
  4. Step 4: Simplify right side
    289,076.95x = 63,838,013,201.27
  5. Step 5: Solve for x
    x = 63,838,013,201.27/289,076.95
  6. Step 6: Final answer
    x = 220,833.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.