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Finding the Fourth Proportional to 380,104.71, 570,322.43 and 238,275.03

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Solution

The fourth proportional to 380,104.71, 570,322.43 and 238,275.03 is: 357,516.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,104.71 : 570,322.43 = 238,275.03 : x
  2. Step 2: Convert to fraction form
    380,104.71/570,322.43 = 238,275.03/x
  3. Step 3: Cross multiply
    380,104.71x = 570,322.43 × 238,275.03
  4. Step 4: Simplify right side
    380,104.71x = 135,893,592,926.55
  5. Step 5: Solve for x
    x = 135,893,592,926.55/380,104.71
  6. Step 6: Final answer
    x = 357,516.20

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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.