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Finding the Fourth Proportional to 563,316.72, 777,376.03 and 305,200.09

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Solution

The fourth proportional to 563,316.72, 777,376.03 and 305,200.09 is: 421,175.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,316.72 : 777,376.03 = 305,200.09 : x
  2. Step 2: Convert to fraction form
    563,316.72/777,376.03 = 305,200.09/x
  3. Step 3: Cross multiply
    563,316.72x = 777,376.03 × 305,200.09
  4. Step 4: Simplify right side
    563,316.72x = 237,255,229,869.70
  5. Step 5: Solve for x
    x = 237,255,229,869.70/563,316.72
  6. Step 6: Final answer
    x = 421,175.55

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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.