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Finding the Fourth Proportional to 507,348.42, 761,022.12 and 207,829.56

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Solution

The fourth proportional to 507,348.42, 761,022.12 and 207,829.56 is: 311,744.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,348.42 : 761,022.12 = 207,829.56 : x
  2. Step 2: Convert to fraction form
    507,348.42/761,022.12 = 207,829.56/x
  3. Step 3: Cross multiply
    507,348.42x = 761,022.12 × 207,829.56
  4. Step 4: Simplify right side
    507,348.42x = 158,162,892,349.87
  5. Step 5: Solve for x
    x = 158,162,892,349.87/507,348.42
  6. Step 6: Final answer
    x = 311,744.13

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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.