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Finding the Fourth Proportional to 285,214.34, 427,206.49 and 268,445.97

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Solution

The fourth proportional to 285,214.34, 427,206.49 and 268,445.97 is: 402,090.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,214.34 : 427,206.49 = 268,445.97 : x
  2. Step 2: Convert to fraction form
    285,214.34/427,206.49 = 268,445.97/x
  3. Step 3: Cross multiply
    285,214.34x = 427,206.49 × 268,445.97
  4. Step 4: Simplify right side
    285,214.34x = 114,681,862,261.26
  5. Step 5: Solve for x
    x = 114,681,862,261.26/285,214.34
  6. Step 6: Final answer
    x = 402,090.10

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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.