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Finding the Fourth Proportional to 442,428.16, 663,395.84 and 262,586.56

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Solution

The fourth proportional to 442,428.16, 663,395.84 and 262,586.56 is: 393,733.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,428.16 : 663,395.84 = 262,586.56 : x
  2. Step 2: Convert to fraction form
    442,428.16/663,395.84 = 262,586.56/x
  3. Step 3: Cross multiply
    442,428.16x = 663,395.84 × 262,586.56
  4. Step 4: Simplify right side
    442,428.16x = 174,198,831,543.91
  5. Step 5: Solve for x
    x = 174,198,831,543.91/442,428.16
  6. Step 6: Final answer
    x = 393,733.60

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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.