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Finding the Fourth Proportional to 564,295.21, 778,725.77 and 306,171.12

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Solution

The fourth proportional to 564,295.21, 778,725.77 and 306,171.12 is: 422,515.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,295.21 : 778,725.77 = 306,171.12 : x
  2. Step 2: Convert to fraction form
    564,295.21/778,725.77 = 306,171.12/x
  3. Step 3: Cross multiply
    564,295.21x = 778,725.77 × 306,171.12
  4. Step 4: Simplify right side
    564,295.21x = 238,423,338,575.95
  5. Step 5: Solve for x
    x = 238,423,338,575.95/564,295.21
  6. Step 6: Final answer
    x = 422,515.26

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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.