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Finding the Fourth Proportional to 563,695.38, 777,898.62 and 309,063.06

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Solution

The fourth proportional to 563,695.38, 777,898.62 and 309,063.06 is: 426,506.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,695.38 : 777,898.62 = 309,063.06 : x
  2. Step 2: Convert to fraction form
    563,695.38/777,898.62 = 309,063.06/x
  3. Step 3: Cross multiply
    563,695.38x = 777,898.62 × 309,063.06
  4. Step 4: Simplify right side
    563,695.38x = 240,419,727,866.98
  5. Step 5: Solve for x
    x = 240,419,727,866.98/563,695.38
  6. Step 6: Final answer
    x = 426,506.47

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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.