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Finding the Fourth Proportional to 214,998.76, 322,498.14 and 177,985

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Solution

The fourth proportional to 214,998.76, 322,498.14 and 177,985 is: 266,977.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,998.76 : 322,498.14 = 177,985 : x
  2. Step 2: Convert to fraction form
    214,998.76/322,498.14 = 177,985/x
  3. Step 3: Cross multiply
    214,998.76x = 322,498.14 × 177,985
  4. Step 4: Simplify right side
    214,998.76x = 57,399,831,447.90
  5. Step 5: Solve for x
    x = 57,399,831,447.90/214,998.76
  6. Step 6: Final answer
    x = 266,977.50

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1.5x scale

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.