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Finding the Fourth Proportional to 258,272, 356,434.80 and 157,689.44

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Solution

The fourth proportional to 258,272, 356,434.80 and 157,689.44 is: 217,623.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,272 : 356,434.80 = 157,689.44 : x
  2. Step 2: Convert to fraction form
    258,272/356,434.80 = 157,689.44/x
  3. Step 3: Cross multiply
    258,272x = 356,434.80 × 157,689.44
  4. Step 4: Simplify right side
    258,272x = 56,206,004,008.51
  5. Step 5: Solve for x
    x = 56,206,004,008.51/258,272
  6. Step 6: Final answer
    x = 217,623.30

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1.5x scale

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.