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Finding the Fourth Proportional to 289,004.40, 432,892.20 and 189,471.60

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Solution

The fourth proportional to 289,004.40, 432,892.20 and 189,471.60 is: 283,804.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,004.40 : 432,892.20 = 189,471.60 : x
  2. Step 2: Convert to fraction form
    289,004.40/432,892.20 = 189,471.60/x
  3. Step 3: Cross multiply
    289,004.40x = 432,892.20 × 189,471.60
  4. Step 4: Simplify right side
    289,004.40x = 82,020,777,761.52
  5. Step 5: Solve for x
    x = 82,020,777,761.52/289,004.40
  6. Step 6: Final answer
    x = 283,804.60

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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.