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Finding the Fourth Proportional to 380,070.82, 570,271.62 and 238,241.14

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Solution

The fourth proportional to 380,070.82, 570,271.62 and 238,241.14 is: 357,465.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,070.82 : 570,271.62 = 238,241.14 : x
  2. Step 2: Convert to fraction form
    380,070.82/570,271.62 = 238,241.14/x
  3. Step 3: Cross multiply
    380,070.82x = 570,271.62 × 238,241.14
  4. Step 4: Simplify right side
    380,070.82x = 135,862,160,858.45
  5. Step 5: Solve for x
    x = 135,862,160,858.45/380,070.82
  6. Step 6: Final answer
    x = 357,465.38

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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.