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Finding the Fourth Proportional to 563,656.50, 777,844.32 and 309,007.88

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Solution

The fourth proportional to 563,656.50, 777,844.32 and 309,007.88 is: 426,429.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,656.50 : 777,844.32 = 309,007.88 : x
  2. Step 2: Convert to fraction form
    563,656.50/777,844.32 = 309,007.88/x
  3. Step 3: Cross multiply
    563,656.50x = 777,844.32 × 309,007.88
  4. Step 4: Simplify right side
    563,656.50x = 240,360,024,293.24
  5. Step 5: Solve for x
    x = 240,360,024,293.24/563,656.50
  6. Step 6: Final answer
    x = 426,429.97

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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.