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Finding the Fourth Proportional to 564,891.51, 779,547.27 and 306,766.20

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Solution

The fourth proportional to 564,891.51, 779,547.27 and 306,766.20 is: 423,335.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,891.51 : 779,547.27 = 306,766.20 : x
  2. Step 2: Convert to fraction form
    564,891.51/779,547.27 = 306,766.20/x
  3. Step 3: Cross multiply
    564,891.51x = 779,547.27 × 306,766.20
  4. Step 4: Simplify right side
    564,891.51x = 239,138,753,738.27
  5. Step 5: Solve for x
    x = 239,138,753,738.27/564,891.51
  6. Step 6: Final answer
    x = 423,335.72

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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.