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Finding the Fourth Proportional to 292,823.20, 439,234.80 and 105,840.80

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Solution

The fourth proportional to 292,823.20, 439,234.80 and 105,840.80 is: 158,761.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,823.20 : 439,234.80 = 105,840.80 : x
  2. Step 2: Convert to fraction form
    292,823.20/439,234.80 = 105,840.80/x
  3. Step 3: Cross multiply
    292,823.20x = 439,234.80 × 105,840.80
  4. Step 4: Simplify right side
    292,823.20x = 46,488,962,619.84
  5. Step 5: Solve for x
    x = 46,488,962,619.84/292,823.20
  6. Step 6: Final answer
    x = 158,761.20

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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.