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Finding the Fourth Proportional to 561,497.42, 774,866.77 and 306,848.61

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Solution

The fourth proportional to 561,497.42, 774,866.77 and 306,848.61 is: 423,451.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,497.42 : 774,866.77 = 306,848.61 : x
  2. Step 2: Convert to fraction form
    561,497.42/774,866.77 = 306,848.61/x
  3. Step 3: Cross multiply
    561,497.42x = 774,866.77 × 306,848.61
  4. Step 4: Simplify right side
    561,497.42x = 237,766,790,542.57
  5. Step 5: Solve for x
    x = 237,766,790,542.57/561,497.42
  6. Step 6: Final answer
    x = 423,451.26

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1.5x scale

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.