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Finding the Fourth Proportional to 235,477.20, 352,697.40 and 209,211.60

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Solution

The fourth proportional to 235,477.20, 352,697.40 and 209,211.60 is: 313,356.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,477.20 : 352,697.40 = 209,211.60 : x
  2. Step 2: Convert to fraction form
    235,477.20/352,697.40 = 209,211.60/x
  3. Step 3: Cross multiply
    235,477.20x = 352,697.40 × 209,211.60
  4. Step 4: Simplify right side
    235,477.20x = 73,788,387,369.84
  5. Step 5: Solve for x
    x = 73,788,387,369.84/235,477.20
  6. Step 6: Final answer
    x = 313,356.82

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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.