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Finding the Fourth Proportional to 540,742.50, 746,209.53 and 299,016.90

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Solution

The fourth proportional to 540,742.50, 746,209.53 and 299,016.90 is: 412,634.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,742.50 : 746,209.53 = 299,016.90 : x
  2. Step 2: Convert to fraction form
    540,742.50/746,209.53 = 299,016.90/x
  3. Step 3: Cross multiply
    540,742.50x = 746,209.53 × 299,016.90
  4. Step 4: Simplify right side
    540,742.50x = 223,129,260,411.06
  5. Step 5: Solve for x
    x = 223,129,260,411.06/540,742.50
  6. Step 6: Final answer
    x = 412,634.96

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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.