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Finding the Fourth Proportional to 537,824.24, 742,113.60 and 311,426

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Solution

The fourth proportional to 537,824.24, 742,113.60 and 311,426 is: 429,719.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,824.24 : 742,113.60 = 311,426 : x
  2. Step 2: Convert to fraction form
    537,824.24/742,113.60 = 311,426/x
  3. Step 3: Cross multiply
    537,824.24x = 742,113.60 × 311,426
  4. Step 4: Simplify right side
    537,824.24x = 231,113,469,993.60
  5. Step 5: Solve for x
    x = 231,113,469,993.60/537,824.24
  6. Step 6: Final answer
    x = 429,719.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.