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Finding the Fourth Proportional to 563,112, 777,094.56 and 308,464.20

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Solution

The fourth proportional to 563,112, 777,094.56 and 308,464.20 is: 425,680.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,112 : 777,094.56 = 308,464.20 : x
  2. Step 2: Convert to fraction form
    563,112/777,094.56 = 308,464.20/x
  3. Step 3: Cross multiply
    563,112x = 777,094.56 × 308,464.20
  4. Step 4: Simplify right side
    563,112x = 239,705,851,774.75
  5. Step 5: Solve for x
    x = 239,705,851,774.75/563,112
  6. Step 6: Final answer
    x = 425,680.60

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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.