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Finding the Fourth Proportional to 242,783.40, 363,786.30 and 153,877.80

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Solution

The fourth proportional to 242,783.40, 363,786.30 and 153,877.80 is: 230,570.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,783.40 : 363,786.30 = 153,877.80 : x
  2. Step 2: Convert to fraction form
    242,783.40/363,786.30 = 153,877.80/x
  3. Step 3: Cross multiply
    242,783.40x = 363,786.30 × 153,877.80
  4. Step 4: Simplify right side
    242,783.40x = 55,978,635,514.14
  5. Step 5: Solve for x
    x = 55,978,635,514.14/242,783.40
  6. Step 6: Final answer
    x = 230,570.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.