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Finding the Fourth Proportional to 316,100.96, 436,226.90 and 180,132

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Solution

The fourth proportional to 316,100.96, 436,226.90 and 180,132 is: 248,586.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,100.96 : 436,226.90 = 180,132 : x
  2. Step 2: Convert to fraction form
    316,100.96/436,226.90 = 180,132/x
  3. Step 3: Cross multiply
    316,100.96x = 436,226.90 × 180,132
  4. Step 4: Simplify right side
    316,100.96x = 78,578,423,950.80
  5. Step 5: Solve for x
    x = 78,578,423,950.80/316,100.96
  6. Step 6: Final answer
    x = 248,586.48

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1.5x scale

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.