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Finding the Fourth Proportional to 557,361.91, 769,133.69 and 315,646.21

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Solution

The fourth proportional to 557,361.91, 769,133.69 and 315,646.21 is: 435,577.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,361.91 : 769,133.69 = 315,646.21 : x
  2. Step 2: Convert to fraction form
    557,361.91/769,133.69 = 315,646.21/x
  3. Step 3: Cross multiply
    557,361.91x = 769,133.69 × 315,646.21
  4. Step 4: Simplify right side
    557,361.91x = 242,774,133,948.39
  5. Step 5: Solve for x
    x = 242,774,133,948.39/557,361.91
  6. Step 6: Final answer
    x = 435,577.19

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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.