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Finding the Fourth Proportional to 563,356.68, 777,451.14 and 308,705.64

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Solution

The fourth proportional to 563,356.68, 777,451.14 and 308,705.64 is: 426,024.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,356.68 : 777,451.14 = 308,705.64 : x
  2. Step 2: Convert to fraction form
    563,356.68/777,451.14 = 308,705.64/x
  3. Step 3: Cross multiply
    563,356.68x = 777,451.14 × 308,705.64
  4. Step 4: Simplify right side
    563,356.68x = 240,003,551,742.43
  5. Step 5: Solve for x
    x = 240,003,551,742.43/563,356.68
  6. Step 6: Final answer
    x = 426,024.15

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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.