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Finding the Fourth Proportional to 563,670.80, 777,865.70 and 309,023.76

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Solution

The fourth proportional to 563,670.80, 777,865.70 and 309,023.76 is: 426,452.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,670.80 : 777,865.70 = 309,023.76 : x
  2. Step 2: Convert to fraction form
    563,670.80/777,865.70 = 309,023.76/x
  3. Step 3: Cross multiply
    563,670.80x = 777,865.70 × 309,023.76
  4. Step 4: Simplify right side
    563,670.80x = 240,378,983,389.03
  5. Step 5: Solve for x
    x = 240,378,983,389.03/563,670.80
  6. Step 6: Final answer
    x = 426,452.79

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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.