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Finding the Fourth Proportional to 398,815.96, 598,336.86 and 162,328.36

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Solution

The fourth proportional to 398,815.96, 598,336.86 and 162,328.36 is: 243,538.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,815.96 : 598,336.86 = 162,328.36 : x
  2. Step 2: Convert to fraction form
    398,815.96/598,336.86 = 162,328.36/x
  3. Step 3: Cross multiply
    398,815.96x = 598,336.86 × 162,328.36
  4. Step 4: Simplify right side
    398,815.96x = 97,127,041,211.35
  5. Step 5: Solve for x
    x = 97,127,041,211.35/398,815.96
  6. Step 6: Final answer
    x = 243,538.50

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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.