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Finding the Fourth Proportional to 398,783.55, 598,288.32 and 162,295.95

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Solution

The fourth proportional to 398,783.55, 598,288.32 and 162,295.95 is: 243,489.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,783.55 : 598,288.32 = 162,295.95 : x
  2. Step 2: Convert to fraction form
    398,783.55/598,288.32 = 162,295.95/x
  3. Step 3: Cross multiply
    398,783.55x = 598,288.32 × 162,295.95
  4. Step 4: Simplify right side
    398,783.55x = 97,099,771,268.30
  5. Step 5: Solve for x
    x = 97,099,771,268.30/398,783.55
  6. Step 6: Final answer
    x = 243,489.91

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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.