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Finding the Fourth Proportional to 249,794.67, 344,708.12 and 142,399.30

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Solution

The fourth proportional to 249,794.67, 344,708.12 and 142,399.30 is: 196,506.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,794.67 : 344,708.12 = 142,399.30 : x
  2. Step 2: Convert to fraction form
    249,794.67/344,708.12 = 142,399.30/x
  3. Step 3: Cross multiply
    249,794.67x = 344,708.12 × 142,399.30
  4. Step 4: Simplify right side
    249,794.67x = 49,086,194,992.32
  5. Step 5: Solve for x
    x = 49,086,194,992.32/249,794.67
  6. Step 6: Final answer
    x = 196,506.17

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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.