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Finding the Fourth Proportional to 210,306.98, 290,212.65 and 114,795.22

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Solution

The fourth proportional to 210,306.98, 290,212.65 and 114,795.22 is: 158,411.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,306.98 : 290,212.65 = 114,795.22 : x
  2. Step 2: Convert to fraction form
    210,306.98/290,212.65 = 114,795.22/x
  3. Step 3: Cross multiply
    210,306.98x = 290,212.65 × 114,795.22
  4. Step 4: Simplify right side
    210,306.98x = 33,315,025,003.53
  5. Step 5: Solve for x
    x = 33,315,025,003.53/210,306.98
  6. Step 6: Final answer
    x = 158,411.41

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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.