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Finding the Fourth Proportional to 376,920.26, 565,457.16 and 339,278.48

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Solution

The fourth proportional to 376,920.26, 565,457.16 and 339,278.48 is: 508,986.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,920.26 : 565,457.16 = 339,278.48 : x
  2. Step 2: Convert to fraction form
    376,920.26/565,457.16 = 339,278.48/x
  3. Step 3: Cross multiply
    376,920.26x = 565,457.16 × 339,278.48
  4. Step 4: Simplify right side
    376,920.26x = 191,847,445,749.92
  5. Step 5: Solve for x
    x = 191,847,445,749.92/376,920.26
  6. Step 6: Final answer
    x = 508,986.82

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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.