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Finding the Fourth Proportional to 285,702.21, 428,637.06 and 127,895.58

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Solution

The fourth proportional to 285,702.21, 428,637.06 and 127,895.58 is: 191,880.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,702.21 : 428,637.06 = 127,895.58 : x
  2. Step 2: Convert to fraction form
    285,702.21/428,637.06 = 127,895.58/x
  3. Step 3: Cross multiply
    285,702.21x = 428,637.06 × 127,895.58
  4. Step 4: Simplify right side
    285,702.21x = 54,820,785,398.19
  5. Step 5: Solve for x
    x = 54,820,785,398.19/285,702.21
  6. Step 6: Final answer
    x = 191,880.86

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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.