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Finding the Fourth Proportional to 380,507.40, 570,798.86 and 140,684.12

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Solution

The fourth proportional to 380,507.40, 570,798.86 and 140,684.12 is: 211,040.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,507.40 : 570,798.86 = 140,684.12 : x
  2. Step 2: Convert to fraction form
    380,507.40/570,798.86 = 140,684.12/x
  3. Step 3: Cross multiply
    380,507.40x = 570,798.86 × 140,684.12
  4. Step 4: Simplify right side
    380,507.40x = 80,302,335,316.10
  5. Step 5: Solve for x
    x = 80,302,335,316.10/380,507.40
  6. Step 6: Final answer
    x = 211,040.14

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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.