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Finding the Fourth Proportional to 564,276.60, 778,670.46 and 309,607.56

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Solution

The fourth proportional to 564,276.60, 778,670.46 and 309,607.56 is: 427,241.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,276.60 : 778,670.46 = 309,607.56 : x
  2. Step 2: Convert to fraction form
    564,276.60/778,670.46 = 309,607.56/x
  3. Step 3: Cross multiply
    564,276.60x = 778,670.46 × 309,607.56
  4. Step 4: Simplify right side
    564,276.60x = 241,082,261,164.68
  5. Step 5: Solve for x
    x = 241,082,261,164.68/564,276.60
  6. Step 6: Final answer
    x = 427,241.29

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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.