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Finding the Fourth Proportional to 557,689.15, 769,548.56 and 315,919.94

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Solution

The fourth proportional to 557,689.15, 769,548.56 and 315,919.94 is: 435,934.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,689.15 : 769,548.56 = 315,919.94 : x
  2. Step 2: Convert to fraction form
    557,689.15/769,548.56 = 315,919.94/x
  3. Step 3: Cross multiply
    557,689.15x = 769,548.56 × 315,919.94
  4. Step 4: Simplify right side
    557,689.15x = 243,115,733,322.69
  5. Step 5: Solve for x
    x = 243,115,733,322.69/557,689.15
  6. Step 6: Final answer
    x = 435,934.13

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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.