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Finding the Fourth Proportional to 288,782.02, 398,507.52 and 159,712

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Solution

The fourth proportional to 288,782.02, 398,507.52 and 159,712 is: 220,396.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,782.02 : 398,507.52 = 159,712 : x
  2. Step 2: Convert to fraction form
    288,782.02/398,507.52 = 159,712/x
  3. Step 3: Cross multiply
    288,782.02x = 398,507.52 × 159,712
  4. Step 4: Simplify right side
    288,782.02x = 63,646,433,034.24
  5. Step 5: Solve for x
    x = 63,646,433,034.24/288,782.02
  6. Step 6: Final answer
    x = 220,396.11

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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.