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Finding the Fourth Proportional to 387,908.01, 535,299.62 and 213,461.95

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Solution

The fourth proportional to 387,908.01, 535,299.62 and 213,461.95 is: 294,570.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,908.01 : 535,299.62 = 213,461.95 : x
  2. Step 2: Convert to fraction form
    387,908.01/535,299.62 = 213,461.95/x
  3. Step 3: Cross multiply
    387,908.01x = 535,299.62 × 213,461.95
  4. Step 4: Simplify right side
    387,908.01x = 114,266,100,719.46
  5. Step 5: Solve for x
    x = 114,266,100,719.46/387,908.01
  6. Step 6: Final answer
    x = 294,570.10

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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.