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Finding the Fourth Proportional to 398,364.78, 597,640.41 and 158,492.26

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Solution

The fourth proportional to 398,364.78, 597,640.41 and 158,492.26 is: 237,775.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,364.78 : 597,640.41 = 158,492.26 : x
  2. Step 2: Convert to fraction form
    398,364.78/597,640.41 = 158,492.26/x
  3. Step 3: Cross multiply
    398,364.78x = 597,640.41 × 158,492.26
  4. Step 4: Simplify right side
    398,364.78x = 94,721,379,248.23
  5. Step 5: Solve for x
    x = 94,721,379,248.23/398,364.78
  6. Step 6: Final answer
    x = 237,775.49

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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.