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Finding the Fourth Proportional to 285,335.80, 428,925.30 and 202,801.40

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Solution

The fourth proportional to 285,335.80, 428,925.30 and 202,801.40 is: 304,857.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,335.80 : 428,925.30 = 202,801.40 : x
  2. Step 2: Convert to fraction form
    285,335.80/428,925.30 = 202,801.40/x
  3. Step 3: Cross multiply
    285,335.80x = 428,925.30 × 202,801.40
  4. Step 4: Simplify right side
    285,335.80x = 86,986,651,335.42
  5. Step 5: Solve for x
    x = 86,986,651,335.42/285,335.80
  6. Step 6: Final answer
    x = 304,857.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.