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Finding the Fourth Proportional to 302,896.80, 418,102.56 and 207,718.56

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Solution

The fourth proportional to 302,896.80, 418,102.56 and 207,718.56 is: 286,723.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,896.80 : 418,102.56 = 207,718.56 : x
  2. Step 2: Convert to fraction form
    302,896.80/418,102.56 = 207,718.56/x
  3. Step 3: Cross multiply
    302,896.80x = 418,102.56 × 207,718.56
  4. Step 4: Simplify right side
    302,896.80x = 86,847,661,695.51
  5. Step 5: Solve for x
    x = 86,847,661,695.51/302,896.80
  6. Step 6: Final answer
    x = 286,723.60

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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.