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Finding the Fourth Proportional to 255,156.40, 352,119 and 140,448.28

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Solution

The fourth proportional to 255,156.40, 352,119 and 140,448.28 is: 193,820.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,156.40 : 352,119 = 140,448.28 : x
  2. Step 2: Convert to fraction form
    255,156.40/352,119 = 140,448.28/x
  3. Step 3: Cross multiply
    255,156.40x = 352,119 × 140,448.28
  4. Step 4: Simplify right side
    255,156.40x = 49,454,507,905.32
  5. Step 5: Solve for x
    x = 49,454,507,905.32/255,156.40
  6. Step 6: Final answer
    x = 193,820.37

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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.