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Finding the Fourth Proportional to 290,188.98, 400,478.58 and 162,864.54

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Solution

The fourth proportional to 290,188.98, 400,478.58 and 162,864.54 is: 224,763.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,188.98 : 400,478.58 = 162,864.54 : x
  2. Step 2: Convert to fraction form
    290,188.98/400,478.58 = 162,864.54/x
  3. Step 3: Cross multiply
    290,188.98x = 400,478.58 × 162,864.54
  4. Step 4: Simplify right side
    290,188.98x = 65,223,759,711.55
  5. Step 5: Solve for x
    x = 65,223,759,711.55/290,188.98
  6. Step 6: Final answer
    x = 224,763.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.