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Finding the Fourth Proportional to 563,116.66, 777,101.13 and 308,476.90

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Solution

The fourth proportional to 563,116.66, 777,101.13 and 308,476.90 is: 425,698.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,116.66 : 777,101.13 = 308,476.90 : x
  2. Step 2: Convert to fraction form
    563,116.66/777,101.13 = 308,476.90/x
  3. Step 3: Cross multiply
    563,116.66x = 777,101.13 × 308,476.90
  4. Step 4: Simplify right side
    563,116.66x = 239,717,747,568.90
  5. Step 5: Solve for x
    x = 239,717,747,568.90/563,116.66
  6. Step 6: Final answer
    x = 425,698.20

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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.