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Finding the Fourth Proportional to 421,242.60, 630,942.30 and 254,740.20

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Solution

The fourth proportional to 421,242.60, 630,942.30 and 254,740.20 is: 381,552.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,242.60 : 630,942.30 = 254,740.20 : x
  2. Step 2: Convert to fraction form
    421,242.60/630,942.30 = 254,740.20/x
  3. Step 3: Cross multiply
    421,242.60x = 630,942.30 × 254,740.20
  4. Step 4: Simplify right side
    421,242.60x = 160,726,367,690.46
  5. Step 5: Solve for x
    x = 160,726,367,690.46/421,242.60
  6. Step 6: Final answer
    x = 381,552.98

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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.