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Finding the Fourth Proportional to 387,351, 581,048.37 and 138,033

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Solution

The fourth proportional to 387,351, 581,048.37 and 138,033 is: 207,057.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,351 : 581,048.37 = 138,033 : x
  2. Step 2: Convert to fraction form
    387,351/581,048.37 = 138,033/x
  3. Step 3: Cross multiply
    387,351x = 581,048.37 × 138,033
  4. Step 4: Simplify right side
    387,351x = 80,203,849,656.21
  5. Step 5: Solve for x
    x = 80,203,849,656.21/387,351
  6. Step 6: Final answer
    x = 207,057.29

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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.