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Finding the Fourth Proportional to 288,715.61, 398,430.11 and 159,662.81

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Solution

The fourth proportional to 288,715.61, 398,430.11 and 159,662.81 is: 220,336.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,715.61 : 398,430.11 = 159,662.81 : x
  2. Step 2: Convert to fraction form
    288,715.61/398,430.11 = 159,662.81/x
  3. Step 3: Cross multiply
    288,715.61x = 398,430.11 × 159,662.81
  4. Step 4: Simplify right side
    288,715.61x = 63,614,472,346.44
  5. Step 5: Solve for x
    x = 63,614,472,346.44/288,715.61
  6. Step 6: Final answer
    x = 220,336.10

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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.