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Finding the Fourth Proportional to 420,991, 580,967.58 and 242,143

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Solution

The fourth proportional to 420,991, 580,967.58 and 242,143 is: 334,157.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,991 : 580,967.58 = 242,143 : x
  2. Step 2: Convert to fraction form
    420,991/580,967.58 = 242,143/x
  3. Step 3: Cross multiply
    420,991x = 580,967.58 × 242,143
  4. Step 4: Simplify right side
    420,991x = 140,677,232,723.94
  5. Step 5: Solve for x
    x = 140,677,232,723.94/420,991
  6. Step 6: Final answer
    x = 334,157.34

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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.