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Finding the Fourth Proportional to 242,878, 364,341.31 and 74,396.38

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Solution

The fourth proportional to 242,878, 364,341.31 and 74,396.38 is: 111,602.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,878 : 364,341.31 = 74,396.38 : x
  2. Step 2: Convert to fraction form
    242,878/364,341.31 = 74,396.38/x
  3. Step 3: Cross multiply
    242,878x = 364,341.31 × 74,396.38
  4. Step 4: Simplify right side
    242,878x = 27,105,674,176.48
  5. Step 5: Solve for x
    x = 27,105,674,176.48/242,878
  6. Step 6: Final answer
    x = 111,602.01

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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.