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Finding the Fourth Proportional to 314,405.70, 471,572.10 and 89,800.80

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Solution

The fourth proportional to 314,405.70, 471,572.10 and 89,800.80 is: 134,690.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,405.70 : 471,572.10 = 89,800.80 : x
  2. Step 2: Convert to fraction form
    314,405.70/471,572.10 = 89,800.80/x
  3. Step 3: Cross multiply
    314,405.70x = 471,572.10 × 89,800.80
  4. Step 4: Simplify right side
    314,405.70x = 42,347,551,837.68
  5. Step 5: Solve for x
    x = 42,347,551,837.68/314,405.70
  6. Step 6: Final answer
    x = 134,690.79

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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.