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Finding the Fourth Proportional to 288,927.99, 398,710.54 and 159,864.41

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Solution

The fourth proportional to 288,927.99, 398,710.54 and 159,864.41 is: 220,607.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,927.99 : 398,710.54 = 159,864.41 : x
  2. Step 2: Convert to fraction form
    288,927.99/398,710.54 = 159,864.41/x
  3. Step 3: Cross multiply
    288,927.99x = 398,710.54 × 159,864.41
  4. Step 4: Simplify right side
    288,927.99x = 63,739,625,237.88
  5. Step 5: Solve for x
    x = 63,739,625,237.88/288,927.99
  6. Step 6: Final answer
    x = 220,607.31

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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.