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Finding the Fourth Proportional to 388,302.12, 582,215.31 and 151,368

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Solution

The fourth proportional to 388,302.12, 582,215.31 and 151,368 is: 226,959.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,302.12 : 582,215.31 = 151,368 : x
  2. Step 2: Convert to fraction form
    388,302.12/582,215.31 = 151,368/x
  3. Step 3: Cross multiply
    388,302.12x = 582,215.31 × 151,368
  4. Step 4: Simplify right side
    388,302.12x = 88,128,767,044.08
  5. Step 5: Solve for x
    x = 88,128,767,044.08/388,302.12
  6. Step 6: Final answer
    x = 226,959.27

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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.