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Finding the Fourth Proportional to 285,366.30, 428,705.82 and 201,320.16

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Solution

The fourth proportional to 285,366.30, 428,705.82 and 201,320.16 is: 302,443.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,366.30 : 428,705.82 = 201,320.16 : x
  2. Step 2: Convert to fraction form
    285,366.30/428,705.82 = 201,320.16/x
  3. Step 3: Cross multiply
    285,366.30x = 428,705.82 × 201,320.16
  4. Step 4: Simplify right side
    285,366.30x = 86,307,124,275.33
  5. Step 5: Solve for x
    x = 86,307,124,275.33/285,366.30
  6. Step 6: Final answer
    x = 302,443.30

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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.