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Finding the Fourth Proportional to 289,200.60, 433,023.30 and 209,885.40

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Solution

The fourth proportional to 289,200.60, 433,023.30 and 209,885.40 is: 314,263.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,200.60 : 433,023.30 = 209,885.40 : x
  2. Step 2: Convert to fraction form
    289,200.60/433,023.30 = 209,885.40/x
  3. Step 3: Cross multiply
    289,200.60x = 433,023.30 × 209,885.40
  4. Step 4: Simplify right side
    289,200.60x = 90,885,268,529.82
  5. Step 5: Solve for x
    x = 90,885,268,529.82/289,200.60
  6. Step 6: Final answer
    x = 314,263.76

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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.