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Finding the Fourth Proportional to 398,656.23, 598,228.50 and 158,885.16

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Solution

The fourth proportional to 398,656.23, 598,228.50 and 158,885.16 is: 238,425.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,656.23 : 598,228.50 = 158,885.16 : x
  2. Step 2: Convert to fraction form
    398,656.23/598,228.50 = 158,885.16/x
  3. Step 3: Cross multiply
    398,656.23x = 598,228.50 × 158,885.16
  4. Step 4: Simplify right side
    398,656.23x = 95,049,632,656.56
  5. Step 5: Solve for x
    x = 95,049,632,656.56/398,656.23
  6. Step 6: Final answer
    x = 238,425.05

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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.