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Finding the Fourth Proportional to 561,833.28, 775,329.84 and 307,184.40

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Solution

The fourth proportional to 561,833.28, 775,329.84 and 307,184.40 is: 423,914.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,833.28 : 775,329.84 = 307,184.40 : x
  2. Step 2: Convert to fraction form
    561,833.28/775,329.84 = 307,184.40/x
  3. Step 3: Cross multiply
    561,833.28x = 775,329.84 × 307,184.40
  4. Step 4: Simplify right side
    561,833.28x = 238,169,231,702.50
  5. Step 5: Solve for x
    x = 238,169,231,702.50/561,833.28
  6. Step 6: Final answer
    x = 423,914.42

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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.