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Finding the Fourth Proportional to 292,770.40, 439,811.70 and 280,814.80

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Solution

The fourth proportional to 292,770.40, 439,811.70 and 280,814.80 is: 421,851.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,770.40 : 439,811.70 = 280,814.80 : x
  2. Step 2: Convert to fraction form
    292,770.40/439,811.70 = 280,814.80/x
  3. Step 3: Cross multiply
    292,770.40x = 439,811.70 × 280,814.80
  4. Step 4: Simplify right side
    292,770.40x = 123,505,634,573.16
  5. Step 5: Solve for x
    x = 123,505,634,573.16/292,770.40
  6. Step 6: Final answer
    x = 421,851.51

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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.