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Finding the Fourth Proportional to 388,053.20, 582,079.80 and 329,004.20

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Solution

The fourth proportional to 388,053.20, 582,079.80 and 329,004.20 is: 493,506.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,053.20 : 582,079.80 = 329,004.20 : x
  2. Step 2: Convert to fraction form
    388,053.20/582,079.80 = 329,004.20/x
  3. Step 3: Cross multiply
    388,053.20x = 582,079.80 × 329,004.20
  4. Step 4: Simplify right side
    388,053.20x = 191,506,698,935.16
  5. Step 5: Solve for x
    x = 191,506,698,935.16/388,053.20
  6. Step 6: Final answer
    x = 493,506.30

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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.