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Finding the Fourth Proportional to 243,314.90, 364,723.95 and 164,437.10

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Solution

The fourth proportional to 243,314.90, 364,723.95 and 164,437.10 is: 246,487.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,314.90 : 364,723.95 = 164,437.10 : x
  2. Step 2: Convert to fraction form
    243,314.90/364,723.95 = 164,437.10/x
  3. Step 3: Cross multiply
    243,314.90x = 364,723.95 × 164,437.10
  4. Step 4: Simplify right side
    243,314.90x = 59,974,148,638.55
  5. Step 5: Solve for x
    x = 59,974,148,638.55/243,314.90
  6. Step 6: Final answer
    x = 246,487.78

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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.