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Finding the Fourth Proportional to 288,077.80, 397,570 and 159,041.92

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Solution

The fourth proportional to 288,077.80, 397,570 and 159,041.92 is: 219,490.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,077.80 : 397,570 = 159,041.92 : x
  2. Step 2: Convert to fraction form
    288,077.80/397,570 = 159,041.92/x
  3. Step 3: Cross multiply
    288,077.80x = 397,570 × 159,041.92
  4. Step 4: Simplify right side
    288,077.80x = 63,230,296,134.40
  5. Step 5: Solve for x
    x = 63,230,296,134.40/288,077.80
  6. Step 6: Final answer
    x = 219,490.35

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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.