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Finding the Fourth Proportional to 270,343.40, 405,924.70 and 208,084.20

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Solution

The fourth proportional to 270,343.40, 405,924.70 and 208,084.20 is: 312,441.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,343.40 : 405,924.70 = 208,084.20 : x
  2. Step 2: Convert to fraction form
    270,343.40/405,924.70 = 208,084.20/x
  3. Step 3: Cross multiply
    270,343.40x = 405,924.70 × 208,084.20
  4. Step 4: Simplify right side
    270,343.40x = 84,466,516,459.74
  5. Step 5: Solve for x
    x = 84,466,516,459.74/270,343.40
  6. Step 6: Final answer
    x = 312,441.57

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1.5x scale

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.