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Finding the Fourth Proportional to 507,313.80, 761,339.75 and 408,665.03

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Solution

The fourth proportional to 507,313.80, 761,339.75 and 408,665.03 is: 613,294.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,313.80 : 761,339.75 = 408,665.03 : x
  2. Step 2: Convert to fraction form
    507,313.80/761,339.75 = 408,665.03/x
  3. Step 3: Cross multiply
    507,313.80x = 761,339.75 × 408,665.03
  4. Step 4: Simplify right side
    507,313.80x = 311,132,925,923.92
  5. Step 5: Solve for x
    x = 311,132,925,923.92/507,313.80
  6. Step 6: Final answer
    x = 613,294.82

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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.