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Finding the Fourth Proportional to 408,399.76, 563,509.08 and 238,601.08

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Solution

The fourth proportional to 408,399.76, 563,509.08 and 238,601.08 is: 329,221.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,399.76 : 563,509.08 = 238,601.08 : x
  2. Step 2: Convert to fraction form
    408,399.76/563,509.08 = 238,601.08/x
  3. Step 3: Cross multiply
    408,399.76x = 563,509.08 × 238,601.08
  4. Step 4: Simplify right side
    408,399.76x = 134,453,875,077.81
  5. Step 5: Solve for x
    x = 134,453,875,077.81/408,399.76
  6. Step 6: Final answer
    x = 329,221.24

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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.