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Finding the Fourth Proportional to 235,813.20, 353,719.80 and 210,008.40

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Solution

The fourth proportional to 235,813.20, 353,719.80 and 210,008.40 is: 315,012.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,813.20 : 353,719.80 = 210,008.40 : x
  2. Step 2: Convert to fraction form
    235,813.20/353,719.80 = 210,008.40/x
  3. Step 3: Cross multiply
    235,813.20x = 353,719.80 × 210,008.40
  4. Step 4: Simplify right side
    235,813.20x = 74,284,129,246.32
  5. Step 5: Solve for x
    x = 74,284,129,246.32/235,813.20
  6. Step 6: Final answer
    x = 315,012.60

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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.