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Finding the Fourth Proportional to 398,528.91, 597,886.83 and 158,657.49

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Solution

The fourth proportional to 398,528.91, 597,886.83 and 158,657.49 is: 238,023.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,528.91 : 597,886.83 = 158,657.49 : x
  2. Step 2: Convert to fraction form
    398,528.91/597,886.83 = 158,657.49/x
  3. Step 3: Cross multiply
    398,528.91x = 597,886.83 × 158,657.49
  4. Step 4: Simplify right side
    398,528.91x = 94,859,223,751.86
  5. Step 5: Solve for x
    x = 94,859,223,751.86/398,528.91
  6. Step 6: Final answer
    x = 238,023.44

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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.