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Finding the Fourth Proportional to 285,710.06, 428,636.48 and 201,634.35

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Solution

The fourth proportional to 285,710.06, 428,636.48 and 201,634.35 is: 302,501.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,710.06 : 428,636.48 = 201,634.35 : x
  2. Step 2: Convert to fraction form
    285,710.06/428,636.48 = 201,634.35/x
  3. Step 3: Cross multiply
    285,710.06x = 428,636.48 × 201,634.35
  4. Step 4: Simplify right side
    285,710.06x = 86,427,838,031.09
  5. Step 5: Solve for x
    x = 86,427,838,031.09/285,710.06
  6. Step 6: Final answer
    x = 302,501.91

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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.