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Finding the Fourth Proportional to 507,709.52, 759,847.74 and 494,047.34

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Solution

The fourth proportional to 507,709.52, 759,847.74 and 494,047.34 is: 739,400.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,709.52 : 759,847.74 = 494,047.34 : x
  2. Step 2: Convert to fraction form
    507,709.52/759,847.74 = 494,047.34/x
  3. Step 3: Cross multiply
    507,709.52x = 759,847.74 × 494,047.34
  4. Step 4: Simplify right side
    507,709.52x = 375,400,754,752.01
  5. Step 5: Solve for x
    x = 375,400,754,752.01/507,709.52
  6. Step 6: Final answer
    x = 739,400.66

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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.