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Finding the Fourth Proportional to 507,826.50, 700,800.68 and 281,472

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Solution

The fourth proportional to 507,826.50, 700,800.68 and 281,472 is: 388,431.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,826.50 : 700,800.68 = 281,472 : x
  2. Step 2: Convert to fraction form
    507,826.50/700,800.68 = 281,472/x
  3. Step 3: Cross multiply
    507,826.50x = 700,800.68 × 281,472
  4. Step 4: Simplify right side
    507,826.50x = 197,255,767,593.60
  5. Step 5: Solve for x
    x = 197,255,767,593.60/507,826.50
  6. Step 6: Final answer
    x = 388,431.42

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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.