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Finding the Fourth Proportional to 270,204.95, 405,307.43 and 70,523.60

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Solution

The fourth proportional to 270,204.95, 405,307.43 and 70,523.60 is: 105,785.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,204.95 : 405,307.43 = 70,523.60 : x
  2. Step 2: Convert to fraction form
    270,204.95/405,307.43 = 70,523.60/x
  3. Step 3: Cross multiply
    270,204.95x = 405,307.43 × 70,523.60
  4. Step 4: Simplify right side
    270,204.95x = 28,583,736,691.19
  5. Step 5: Solve for x
    x = 28,583,736,691.19/270,204.95
  6. Step 6: Final answer
    x = 105,785.39

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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.