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Finding the Fourth Proportional to 357,455.80, 493,301.10 and 204,519.16

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Solution

The fourth proportional to 357,455.80, 493,301.10 and 204,519.16 is: 282,243.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,455.80 : 493,301.10 = 204,519.16 : x
  2. Step 2: Convert to fraction form
    357,455.80/493,301.10 = 204,519.16/x
  3. Step 3: Cross multiply
    357,455.80x = 493,301.10 × 204,519.16
  4. Step 4: Simplify right side
    357,455.80x = 100,889,526,599.08
  5. Step 5: Solve for x
    x = 100,889,526,599.08/357,455.80
  6. Step 6: Final answer
    x = 282,243.36

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1.5x scale

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.