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Finding the Fourth Proportional to 563,130, 777,138.81 and 308,481.19

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Solution

The fourth proportional to 563,130, 777,138.81 and 308,481.19 is: 425,714.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,130 : 777,138.81 = 308,481.19 : x
  2. Step 2: Convert to fraction form
    563,130/777,138.81 = 308,481.19/x
  3. Step 3: Cross multiply
    563,130x = 777,138.81 × 308,481.19
  4. Step 4: Simplify right side
    563,130x = 239,732,704,903.98
  5. Step 5: Solve for x
    x = 239,732,704,903.98/563,130
  6. Step 6: Final answer
    x = 425,714.67

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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.