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Finding the Fourth Proportional to 420,102, 630,233.46 and 230,458.50

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Solution

The fourth proportional to 420,102, 630,233.46 and 230,458.50 is: 345,731.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,102 : 630,233.46 = 230,458.50 : x
  2. Step 2: Convert to fraction form
    420,102/630,233.46 = 230,458.50/x
  3. Step 3: Cross multiply
    420,102x = 630,233.46 × 230,458.50
  4. Step 4: Simplify right side
    420,102x = 145,242,657,841.41
  5. Step 5: Solve for x
    x = 145,242,657,841.41/420,102
  6. Step 6: Final answer
    x = 345,731.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.