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Finding the Fourth Proportional to 207,985.60, 311,978.40 and 176,492.80

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Solution

The fourth proportional to 207,985.60, 311,978.40 and 176,492.80 is: 264,739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,985.60 : 311,978.40 = 176,492.80 : x
  2. Step 2: Convert to fraction form
    207,985.60/311,978.40 = 176,492.80/x
  3. Step 3: Cross multiply
    207,985.60x = 311,978.40 × 176,492.80
  4. Step 4: Simplify right side
    207,985.60x = 55,061,941,355.52
  5. Step 5: Solve for x
    x = 55,061,941,355.52/207,985.60
  6. Step 6: Final answer
    x = 264,739.20

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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.