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Finding the Fourth Proportional to 210,449.95, 290,348.90 and 119,783.23

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Solution

The fourth proportional to 210,449.95, 290,348.90 and 119,783.23 is: 165,259.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,449.95 : 290,348.90 = 119,783.23 : x
  2. Step 2: Convert to fraction form
    210,449.95/290,348.90 = 119,783.23/x
  3. Step 3: Cross multiply
    210,449.95x = 290,348.90 × 119,783.23
  4. Step 4: Simplify right side
    210,449.95x = 34,778,928,470.03
  5. Step 5: Solve for x
    x = 34,778,928,470.03/210,449.95
  6. Step 6: Final answer
    x = 165,259.86

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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.