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Finding the Fourth Proportional to 386,460.80, 533,321.16 and 289,492.87

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Solution

The fourth proportional to 386,460.80, 533,321.16 and 289,492.87 is: 399,504.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,460.80 : 533,321.16 = 289,492.87 : x
  2. Step 2: Convert to fraction form
    386,460.80/533,321.16 = 289,492.87/x
  3. Step 3: Cross multiply
    386,460.80x = 533,321.16 × 289,492.87
  4. Step 4: Simplify right side
    386,460.80x = 154,392,673,240.13
  5. Step 5: Solve for x
    x = 154,392,673,240.13/386,460.80
  6. Step 6: Final answer
    x = 399,504.10

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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.