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Finding the Fourth Proportional to 557,703.62, 769,568.52 and 315,934.46

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Solution

The fourth proportional to 557,703.62, 769,568.52 and 315,934.46 is: 435,954.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,703.62 : 769,568.52 = 315,934.46 : x
  2. Step 2: Convert to fraction form
    557,703.62/769,568.52 = 315,934.46/x
  3. Step 3: Cross multiply
    557,703.62x = 769,568.52 × 315,934.46
  4. Step 4: Simplify right side
    557,703.62x = 243,133,214,799.20
  5. Step 5: Solve for x
    x = 243,133,214,799.20/557,703.62
  6. Step 6: Final answer
    x = 435,954.16

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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.