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Finding the Fourth Proportional to 255,433.67, 352,509.39 and 142,256.42

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Solution

The fourth proportional to 255,433.67, 352,509.39 and 142,256.42 is: 196,319.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,433.67 : 352,509.39 = 142,256.42 : x
  2. Step 2: Convert to fraction form
    255,433.67/352,509.39 = 142,256.42/x
  3. Step 3: Cross multiply
    255,433.67x = 352,509.39 × 142,256.42
  4. Step 4: Simplify right side
    255,433.67x = 50,146,722,075.24
  5. Step 5: Solve for x
    x = 50,146,722,075.24/255,433.67
  6. Step 6: Final answer
    x = 196,319.94

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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.