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Finding the Fourth Proportional to 452,459.75, 678,777.10 and 171,955.13

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Solution

The fourth proportional to 452,459.75, 678,777.10 and 171,955.13 is: 257,965.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,459.75 : 678,777.10 = 171,955.13 : x
  2. Step 2: Convert to fraction form
    452,459.75/678,777.10 = 171,955.13/x
  3. Step 3: Cross multiply
    452,459.75x = 678,777.10 × 171,955.13
  4. Step 4: Simplify right side
    452,459.75x = 116,719,200,647.75
  5. Step 5: Solve for x
    x = 116,719,200,647.75/452,459.75
  6. Step 6: Final answer
    x = 257,965.93

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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.