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Finding the Fourth Proportional to 401,784.32, 554,425.72 and 238,412.68

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Solution

The fourth proportional to 401,784.32, 554,425.72 and 238,412.68 is: 328,987.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,784.32 : 554,425.72 = 238,412.68 : x
  2. Step 2: Convert to fraction form
    401,784.32/554,425.72 = 238,412.68/x
  3. Step 3: Cross multiply
    401,784.32x = 554,425.72 × 238,412.68
  4. Step 4: Simplify right side
    401,784.32x = 132,182,118,397.97
  5. Step 5: Solve for x
    x = 132,182,118,397.97/401,784.32
  6. Step 6: Final answer
    x = 328,987.75

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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.