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Finding the Fourth Proportional to 414,137.49, 571,611.21 and 253,127.51

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Solution

The fourth proportional to 414,137.49, 571,611.21 and 253,127.51 is: 349,377.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,137.49 : 571,611.21 = 253,127.51 : x
  2. Step 2: Convert to fraction form
    414,137.49/571,611.21 = 253,127.51/x
  3. Step 3: Cross multiply
    414,137.49x = 571,611.21 × 253,127.51
  4. Step 4: Simplify right side
    414,137.49x = 144,690,522,275.39
  5. Step 5: Solve for x
    x = 144,690,522,275.39/414,137.49
  6. Step 6: Final answer
    x = 349,377.99

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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.