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Finding the Fourth Proportional to 563,857, 778,051.14 and 309,141.16

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Solution

The fourth proportional to 563,857, 778,051.14 and 309,141.16 is: 426,575.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,857 : 778,051.14 = 309,141.16 : x
  2. Step 2: Convert to fraction form
    563,857/778,051.14 = 309,141.16/x
  3. Step 3: Cross multiply
    563,857x = 778,051.14 × 309,141.16
  4. Step 4: Simplify right side
    563,857x = 240,527,631,958.92
  5. Step 5: Solve for x
    x = 240,527,631,958.92/563,857
  6. Step 6: Final answer
    x = 426,575.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.