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Finding the Fourth Proportional to 564,690.98, 779,287.10 and 306,578.81

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Solution

The fourth proportional to 564,690.98, 779,287.10 and 306,578.81 is: 423,086.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,690.98 : 779,287.10 = 306,578.81 : x
  2. Step 2: Convert to fraction form
    564,690.98/779,287.10 = 306,578.81/x
  3. Step 3: Cross multiply
    564,690.98x = 779,287.10 × 306,578.81
  4. Step 4: Simplify right side
    564,690.98x = 238,912,913,672.57
  5. Step 5: Solve for x
    x = 238,912,913,672.57/564,690.98
  6. Step 6: Final answer
    x = 423,086.12

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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.