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Finding the Fourth Proportional to 497,053.85, 685,943.45 and 276,311.91

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Solution

The fourth proportional to 497,053.85, 685,943.45 and 276,311.91 is: 381,315.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,053.85 : 685,943.45 = 276,311.91 : x
  2. Step 2: Convert to fraction form
    497,053.85/685,943.45 = 276,311.91/x
  3. Step 3: Cross multiply
    497,053.85x = 685,943.45 × 276,311.91
  4. Step 4: Simplify right side
    497,053.85x = 189,534,348,602.64
  5. Step 5: Solve for x
    x = 189,534,348,602.64/497,053.85
  6. Step 6: Final answer
    x = 381,315.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.