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Finding the Fourth Proportional to 200,888.12, 299,557.31 and 199,085.06

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Solution

The fourth proportional to 200,888.12, 299,557.31 and 199,085.06 is: 296,868.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,888.12 : 299,557.31 = 199,085.06 : x
  2. Step 2: Convert to fraction form
    200,888.12/299,557.31 = 199,085.06/x
  3. Step 3: Cross multiply
    200,888.12x = 299,557.31 × 199,085.06
  4. Step 4: Simplify right side
    200,888.12x = 59,637,382,541.58
  5. Step 5: Solve for x
    x = 59,637,382,541.58/200,888.12
  6. Step 6: Final answer
    x = 296,868.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.