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Finding the Fourth Proportional to 420,993, 580,970.34 and 242,145

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Solution

The fourth proportional to 420,993, 580,970.34 and 242,145 is: 334,160.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,993 : 580,970.34 = 242,145 : x
  2. Step 2: Convert to fraction form
    420,993/580,970.34 = 242,145/x
  3. Step 3: Cross multiply
    420,993x = 580,970.34 × 242,145
  4. Step 4: Simplify right side
    420,993x = 140,679,062,979.30
  5. Step 5: Solve for x
    x = 140,679,062,979.30/420,993
  6. Step 6: Final answer
    x = 334,160.10

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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.