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Finding the Fourth Proportional to 297,154.82, 409,973.92 and 169,740.20

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Solution

The fourth proportional to 297,154.82, 409,973.92 and 169,740.20 is: 234,184.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,154.82 : 409,973.92 = 169,740.20 : x
  2. Step 2: Convert to fraction form
    297,154.82/409,973.92 = 169,740.20/x
  3. Step 3: Cross multiply
    297,154.82x = 409,973.92 × 169,740.20
  4. Step 4: Simplify right side
    297,154.82x = 69,589,052,701.36
  5. Step 5: Solve for x
    x = 69,589,052,701.36/297,154.82
  6. Step 6: Final answer
    x = 234,184.50

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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.