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Finding the Fourth Proportional to 292,159.69, 400,256.87 and 281,234.59

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Solution

The fourth proportional to 292,159.69, 400,256.87 and 281,234.59 is: 385,289.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,159.69 : 400,256.87 = 281,234.59 : x
  2. Step 2: Convert to fraction form
    292,159.69/400,256.87 = 281,234.59/x
  3. Step 3: Cross multiply
    292,159.69x = 400,256.87 × 281,234.59
  4. Step 4: Simplify right side
    292,159.69x = 112,566,076,729.13
  5. Step 5: Solve for x
    x = 112,566,076,729.13/292,159.69
  6. Step 6: Final answer
    x = 385,289.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.