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Finding the Fourth Proportional to 288,048.80, 432,073.20 and 268,365.80

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Solution

The fourth proportional to 288,048.80, 432,073.20 and 268,365.80 is: 402,548.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,048.80 : 432,073.20 = 268,365.80 : x
  2. Step 2: Convert to fraction form
    288,048.80/432,073.20 = 268,365.80/x
  3. Step 3: Cross multiply
    288,048.80x = 432,073.20 × 268,365.80
  4. Step 4: Simplify right side
    288,048.80x = 115,953,669,976.56
  5. Step 5: Solve for x
    x = 115,953,669,976.56/288,048.80
  6. Step 6: Final answer
    x = 402,548.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.