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Finding the Fourth Proportional to 564,965.30, 779,657.74 and 306,847.29

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Solution

The fourth proportional to 564,965.30, 779,657.74 and 306,847.29 is: 423,452.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,965.30 : 779,657.74 = 306,847.29 : x
  2. Step 2: Convert to fraction form
    564,965.30/779,657.74 = 306,847.29/x
  3. Step 3: Cross multiply
    564,965.30x = 779,657.74 × 306,847.29
  4. Step 4: Simplify right side
    564,965.30x = 239,235,859,214.00
  5. Step 5: Solve for x
    x = 239,235,859,214.00/564,965.30
  6. Step 6: Final answer
    x = 423,452.31

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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.