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Finding the Fourth Proportional to 345,486, 476,890 and 202,292.08

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Solution

The fourth proportional to 345,486, 476,890 and 202,292.08 is: 279,232.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,486 : 476,890 = 202,292.08 : x
  2. Step 2: Convert to fraction form
    345,486/476,890 = 202,292.08/x
  3. Step 3: Cross multiply
    345,486x = 476,890 × 202,292.08
  4. Step 4: Simplify right side
    345,486x = 96,471,070,031.20
  5. Step 5: Solve for x
    x = 96,471,070,031.20/345,486
  6. Step 6: Final answer
    x = 279,232.94

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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.