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Finding the Fourth Proportional to 418,878.72, 578,019.84 and 237,592.32

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Solution

The fourth proportional to 418,878.72, 578,019.84 and 237,592.32 is: 327,858.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,878.72 : 578,019.84 = 237,592.32 : x
  2. Step 2: Convert to fraction form
    418,878.72/578,019.84 = 237,592.32/x
  3. Step 3: Cross multiply
    418,878.72x = 578,019.84 × 237,592.32
  4. Step 4: Simplify right side
    418,878.72x = 137,333,074,791.63
  5. Step 5: Solve for x
    x = 137,333,074,791.63/418,878.72
  6. Step 6: Final answer
    x = 327,858.80

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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.