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Finding the Fourth Proportional to 501,871.18, 692,492.84 and 284,078.74

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Solution

The fourth proportional to 501,871.18, 692,492.84 and 284,078.74 is: 391,978.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,871.18 : 692,492.84 = 284,078.74 : x
  2. Step 2: Convert to fraction form
    501,871.18/692,492.84 = 284,078.74/x
  3. Step 3: Cross multiply
    501,871.18x = 692,492.84 × 284,078.74
  4. Step 4: Simplify right side
    501,871.18x = 196,722,493,446.22
  5. Step 5: Solve for x
    x = 196,722,493,446.22/501,871.18
  6. Step 6: Final answer
    x = 391,978.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.