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Finding the Fourth Proportional to 557,322.72, 769,424.16 and 366,889.69

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Solution

The fourth proportional to 557,322.72, 769,424.16 and 366,889.69 is: 506,517.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,322.72 : 769,424.16 = 366,889.69 : x
  2. Step 2: Convert to fraction form
    557,322.72/769,424.16 = 366,889.69/x
  3. Step 3: Cross multiply
    557,322.72x = 769,424.16 × 366,889.69
  4. Step 4: Simplify right side
    557,322.72x = 282,293,791,540.91
  5. Step 5: Solve for x
    x = 282,293,791,540.91/557,322.72
  6. Step 6: Final answer
    x = 506,517.64

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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.