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Finding the Fourth Proportional to 237,883.83, 328,256.71 and 142,388.47

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Solution

The fourth proportional to 237,883.83, 328,256.71 and 142,388.47 is: 196,482.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,883.83 : 328,256.71 = 142,388.47 : x
  2. Step 2: Convert to fraction form
    237,883.83/328,256.71 = 142,388.47/x
  3. Step 3: Cross multiply
    237,883.83x = 328,256.71 × 142,388.47
  4. Step 4: Simplify right side
    237,883.83x = 46,739,970,704.13
  5. Step 5: Solve for x
    x = 46,739,970,704.13/237,883.83
  6. Step 6: Final answer
    x = 196,482.34

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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.