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Finding the Fourth Proportional to 304,817.86, 420,854.13 and 190,270.96

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Solution

The fourth proportional to 304,817.86, 420,854.13 and 190,270.96 is: 262,702.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,817.86 : 420,854.13 = 190,270.96 : x
  2. Step 2: Convert to fraction form
    304,817.86/420,854.13 = 190,270.96/x
  3. Step 3: Cross multiply
    304,817.86x = 420,854.13 × 190,270.96
  4. Step 4: Simplify right side
    304,817.86x = 80,076,319,335.06
  5. Step 5: Solve for x
    x = 80,076,319,335.06/304,817.86
  6. Step 6: Final answer
    x = 262,702.19

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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.