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Finding the Fourth Proportional to 310,275.47, 428,226.47 and 189,486.24

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Solution

The fourth proportional to 310,275.47, 428,226.47 and 189,486.24 is: 261,519.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,275.47 : 428,226.47 = 189,486.24 : x
  2. Step 2: Convert to fraction form
    310,275.47/428,226.47 = 189,486.24/x
  3. Step 3: Cross multiply
    310,275.47x = 428,226.47 × 189,486.24
  4. Step 4: Simplify right side
    310,275.47x = 81,143,022,721.34
  5. Step 5: Solve for x
    x = 81,143,022,721.34/310,275.47
  6. Step 6: Final answer
    x = 261,519.30

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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.