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Finding the Fourth Proportional to 398,626.86, 597,937.82 and 145,924.92

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Solution

The fourth proportional to 398,626.86, 597,937.82 and 145,924.92 is: 218,886.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,626.86 : 597,937.82 = 145,924.92 : x
  2. Step 2: Convert to fraction form
    398,626.86/597,937.82 = 145,924.92/x
  3. Step 3: Cross multiply
    398,626.86x = 597,937.82 × 145,924.92
  4. Step 4: Simplify right side
    398,626.86x = 87,254,028,548.47
  5. Step 5: Solve for x
    x = 87,254,028,548.47/398,626.86
  6. Step 6: Final answer
    x = 218,886.48

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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.