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Finding the Fourth Proportional to 507,534.48, 761,242.43 and 203,916.40

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Solution

The fourth proportional to 507,534.48, 761,242.43 and 203,916.40 is: 305,850.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,534.48 : 761,242.43 = 203,916.40 : x
  2. Step 2: Convert to fraction form
    507,534.48/761,242.43 = 203,916.40/x
  3. Step 3: Cross multiply
    507,534.48x = 761,242.43 × 203,916.40
  4. Step 4: Simplify right side
    507,534.48x = 155,229,814,459.54
  5. Step 5: Solve for x
    x = 155,229,814,459.54/507,534.48
  6. Step 6: Final answer
    x = 305,850.78

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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.