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Finding the Fourth Proportional to 433,455.40, 649,978.98 and 281,406.52

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Solution

The fourth proportional to 433,455.40, 649,978.98 and 281,406.52 is: 421,977.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,455.40 : 649,978.98 = 281,406.52 : x
  2. Step 2: Convert to fraction form
    433,455.40/649,978.98 = 281,406.52/x
  3. Step 3: Cross multiply
    433,455.40x = 649,978.98 × 281,406.52
  4. Step 4: Simplify right side
    433,455.40x = 182,908,322,834.95
  5. Step 5: Solve for x
    x = 182,908,322,834.95/433,455.40
  6. Step 6: Final answer
    x = 421,977.26

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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.