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Finding the Fourth Proportional to 210,409.92, 290,354.76 and 114,897.96

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Solution

The fourth proportional to 210,409.92, 290,354.76 and 114,897.96 is: 158,553.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,409.92 : 290,354.76 = 114,897.96 : x
  2. Step 2: Convert to fraction form
    210,409.92/290,354.76 = 114,897.96/x
  3. Step 3: Cross multiply
    210,409.92x = 290,354.76 × 114,897.96
  4. Step 4: Simplify right side
    210,409.92x = 33,361,169,600.29
  5. Step 5: Solve for x
    x = 33,361,169,600.29/210,409.92
  6. Step 6: Final answer
    x = 158,553.22

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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.