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Finding the Fourth Proportional to 305,248.38, 457,893.09 and 105,588.06

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Solution

The fourth proportional to 305,248.38, 457,893.09 and 105,588.06 is: 158,389.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,248.38 : 457,893.09 = 105,588.06 : x
  2. Step 2: Convert to fraction form
    305,248.38/457,893.09 = 105,588.06/x
  3. Step 3: Cross multiply
    305,248.38x = 457,893.09 × 105,588.06
  4. Step 4: Simplify right side
    305,248.38x = 48,348,043,060.51
  5. Step 5: Solve for x
    x = 48,348,043,060.51/305,248.38
  6. Step 6: Final answer
    x = 158,389.19

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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.