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Finding the Fourth Proportional to 382,574.78, 527,957.24 and 210,495

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Solution

The fourth proportional to 382,574.78, 527,957.24 and 210,495 is: 290,485.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,574.78 : 527,957.24 = 210,495 : x
  2. Step 2: Convert to fraction form
    382,574.78/527,957.24 = 210,495/x
  3. Step 3: Cross multiply
    382,574.78x = 527,957.24 × 210,495
  4. Step 4: Simplify right side
    382,574.78x = 111,132,359,233.80
  5. Step 5: Solve for x
    x = 111,132,359,233.80/382,574.78
  6. Step 6: Final answer
    x = 290,485.32

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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.