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Finding the Fourth Proportional to 557,032.11, 768,706.61 and 315,361.32

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Solution

The fourth proportional to 557,032.11, 768,706.61 and 315,361.32 is: 435,199.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,032.11 : 768,706.61 = 315,361.32 : x
  2. Step 2: Convert to fraction form
    557,032.11/768,706.61 = 315,361.32/x
  3. Step 3: Cross multiply
    557,032.11x = 768,706.61 × 315,361.32
  4. Step 4: Simplify right side
    557,032.11x = 242,420,329,645.52
  5. Step 5: Solve for x
    x = 242,420,329,645.52/557,032.11
  6. Step 6: Final answer
    x = 435,199.92

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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.