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Finding the Fourth Proportional to 563,832.96, 778,100.16 and 309,168.96

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Solution

The fourth proportional to 563,832.96, 778,100.16 and 309,168.96 is: 426,659.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,832.96 : 778,100.16 = 309,168.96 : x
  2. Step 2: Convert to fraction form
    563,832.96/778,100.16 = 309,168.96/x
  3. Step 3: Cross multiply
    563,832.96x = 778,100.16 × 309,168.96
  4. Step 4: Simplify right side
    563,832.96x = 240,564,417,243.03
  5. Step 5: Solve for x
    x = 240,564,417,243.03/563,832.96
  6. Step 6: Final answer
    x = 426,659.02

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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.