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Finding the Fourth Proportional to 442,706.85, 610,782.12 and 249,083.37

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Solution

The fourth proportional to 442,706.85, 610,782.12 and 249,083.37 is: 343,648.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,706.85 : 610,782.12 = 249,083.37 : x
  2. Step 2: Convert to fraction form
    442,706.85/610,782.12 = 249,083.37/x
  3. Step 3: Cross multiply
    442,706.85x = 610,782.12 × 249,083.37
  4. Step 4: Simplify right side
    442,706.85x = 152,135,668,785.34
  5. Step 5: Solve for x
    x = 152,135,668,785.34/442,706.85
  6. Step 6: Final answer
    x = 343,648.78

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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.