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Finding the Fourth Proportional to 284,974.98, 427,398.58 and 85,269.76

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Solution

The fourth proportional to 284,974.98, 427,398.58 and 85,269.76 is: 127,885.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,974.98 : 427,398.58 = 85,269.76 : x
  2. Step 2: Convert to fraction form
    284,974.98/427,398.58 = 85,269.76/x
  3. Step 3: Cross multiply
    284,974.98x = 427,398.58 × 85,269.76
  4. Step 4: Simplify right side
    284,974.98x = 36,444,175,303.51
  5. Step 5: Solve for x
    x = 36,444,175,303.51/284,974.98
  6. Step 6: Final answer
    x = 127,885.52

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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.