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Finding the Fourth Proportional to 288,903.24, 398,724.06 and 161,605.24

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Solution

The fourth proportional to 288,903.24, 398,724.06 and 161,605.24 is: 223,036.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,903.24 : 398,724.06 = 161,605.24 : x
  2. Step 2: Convert to fraction form
    288,903.24/398,724.06 = 161,605.24/x
  3. Step 3: Cross multiply
    288,903.24x = 398,724.06 × 161,605.24
  4. Step 4: Simplify right side
    288,903.24x = 64,435,897,410.07
  5. Step 5: Solve for x
    x = 64,435,897,410.07/288,903.24
  6. Step 6: Final answer
    x = 223,036.26

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1.5x scale

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.