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Finding the Fourth Proportional to 261,810.50, 361,298.49 and 142,578.50

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Solution

The fourth proportional to 261,810.50, 361,298.49 and 142,578.50 is: 196,758.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,810.50 : 361,298.49 = 142,578.50 : x
  2. Step 2: Convert to fraction form
    261,810.50/361,298.49 = 142,578.50/x
  3. Step 3: Cross multiply
    261,810.50x = 361,298.49 × 142,578.50
  4. Step 4: Simplify right side
    261,810.50x = 51,513,396,756.47
  5. Step 5: Solve for x
    x = 51,513,396,756.47/261,810.50
  6. Step 6: Final answer
    x = 196,758.33

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1.5x scale

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.