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Finding the Fourth Proportional to 355,647.80, 532,823.70 and 281,257.40

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Solution

The fourth proportional to 355,647.80, 532,823.70 and 281,257.40 is: 421,373.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,647.80 : 532,823.70 = 281,257.40 : x
  2. Step 2: Convert to fraction form
    355,647.80/532,823.70 = 281,257.40/x
  3. Step 3: Cross multiply
    355,647.80x = 532,823.70 × 281,257.40
  4. Step 4: Simplify right side
    355,647.80x = 149,860,608,520.38
  5. Step 5: Solve for x
    x = 149,860,608,520.38/355,647.80
  6. Step 6: Final answer
    x = 421,373.64

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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.