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Finding the Fourth Proportional to 564,533.75, 779,046.80 and 306,405.15

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Solution

The fourth proportional to 564,533.75, 779,046.80 and 306,405.15 is: 422,833.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,533.75 : 779,046.80 = 306,405.15 : x
  2. Step 2: Convert to fraction form
    564,533.75/779,046.80 = 306,405.15/x
  3. Step 3: Cross multiply
    564,533.75x = 779,046.80 × 306,405.15
  4. Step 4: Simplify right side
    564,533.75x = 238,703,953,000.42
  5. Step 5: Solve for x
    x = 238,703,953,000.42/564,533.75
  6. Step 6: Final answer
    x = 422,833.80

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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.