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Finding the Fourth Proportional to 563,102.96, 777,082.28 and 308,458.32

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Solution

The fourth proportional to 563,102.96, 777,082.28 and 308,458.32 is: 425,672.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,102.96 : 777,082.28 = 308,458.32 : x
  2. Step 2: Convert to fraction form
    563,102.96/777,082.28 = 308,458.32/x
  3. Step 3: Cross multiply
    563,102.96x = 777,082.28 × 308,458.32
  4. Step 4: Simplify right side
    563,102.96x = 239,697,494,590.57
  5. Step 5: Solve for x
    x = 239,697,494,590.57/563,102.96
  6. Step 6: Final answer
    x = 425,672.59

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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.