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Finding the Fourth Proportional to 491,041.70, 736,742.46 and 206,803.80

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Solution

The fourth proportional to 491,041.70, 736,742.46 and 206,803.80 is: 310,281.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,041.70 : 736,742.46 = 206,803.80 : x
  2. Step 2: Convert to fraction form
    491,041.70/736,742.46 = 206,803.80/x
  3. Step 3: Cross multiply
    491,041.70x = 736,742.46 × 206,803.80
  4. Step 4: Simplify right side
    491,041.70x = 152,361,140,349.35
  5. Step 5: Solve for x
    x = 152,361,140,349.35/491,041.70
  6. Step 6: Final answer
    x = 310,281.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.