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Finding the Fourth Proportional to 557,649.85, 769,558.71 and 315,977.17

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Solution

The fourth proportional to 557,649.85, 769,558.71 and 315,977.17 is: 436,049.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,649.85 : 769,558.71 = 315,977.17 : x
  2. Step 2: Convert to fraction form
    557,649.85/769,558.71 = 315,977.17/x
  3. Step 3: Cross multiply
    557,649.85x = 769,558.71 × 315,977.17
  4. Step 4: Simplify right side
    557,649.85x = 243,162,983,334.65
  5. Step 5: Solve for x
    x = 243,162,983,334.65/557,649.85
  6. Step 6: Final answer
    x = 436,049.58

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1.5x scale

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.