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Finding the Fourth Proportional to 288,527.56, 398,155.64 and 159,459.36

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Solution

The fourth proportional to 288,527.56, 398,155.64 and 159,459.36 is: 220,047.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,527.56 : 398,155.64 = 159,459.36 : x
  2. Step 2: Convert to fraction form
    288,527.56/398,155.64 = 159,459.36/x
  3. Step 3: Cross multiply
    288,527.56x = 398,155.64 × 159,459.36
  4. Step 4: Simplify right side
    288,527.56x = 63,489,643,335.47
  5. Step 5: Solve for x
    x = 63,489,643,335.47/288,527.56
  6. Step 6: Final answer
    x = 220,047.07

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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.