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Finding the Fourth Proportional to 283,378.19, 391,058.06 and 160,869.51

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Solution

The fourth proportional to 283,378.19, 391,058.06 and 160,869.51 is: 221,997.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,378.19 : 391,058.06 = 160,869.51 : x
  2. Step 2: Convert to fraction form
    283,378.19/391,058.06 = 160,869.51/x
  3. Step 3: Cross multiply
    283,378.19x = 391,058.06 × 160,869.51
  4. Step 4: Simplify right side
    283,378.19x = 62,909,317,689.40
  5. Step 5: Solve for x
    x = 62,909,317,689.40/283,378.19
  6. Step 6: Final answer
    x = 221,997.74

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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.