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Finding the Fourth Proportional to 224,798, 310,230.15 and 129,304.58

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Solution

The fourth proportional to 224,798, 310,230.15 and 129,304.58 is: 178,445.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,798 : 310,230.15 = 129,304.58 : x
  2. Step 2: Convert to fraction form
    224,798/310,230.15 = 129,304.58/x
  3. Step 3: Cross multiply
    224,798x = 310,230.15 × 129,304.58
  4. Step 4: Simplify right side
    224,798x = 40,114,179,249.09
  5. Step 5: Solve for x
    x = 40,114,179,249.09/224,798
  6. Step 6: Final answer
    x = 178,445.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.