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Finding the Fourth Proportional to 288,053.20, 432,079.80 and 256,949.20

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Solution

The fourth proportional to 288,053.20, 432,079.80 and 256,949.20 is: 385,423.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,053.20 : 432,079.80 = 256,949.20 : x
  2. Step 2: Convert to fraction form
    288,053.20/432,079.80 = 256,949.20/x
  3. Step 3: Cross multiply
    288,053.20x = 432,079.80 × 256,949.20
  4. Step 4: Simplify right side
    288,053.20x = 111,022,558,946.16
  5. Step 5: Solve for x
    x = 111,022,558,946.16/288,053.20
  6. Step 6: Final answer
    x = 385,423.80

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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.