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Finding the Fourth Proportional to 380,291.88, 570,514 and 140,407.28

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Solution

The fourth proportional to 380,291.88, 570,514 and 140,407.28 is: 210,639.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,291.88 : 570,514 = 140,407.28 : x
  2. Step 2: Convert to fraction form
    380,291.88/570,514 = 140,407.28/x
  3. Step 3: Cross multiply
    380,291.88x = 570,514 × 140,407.28
  4. Step 4: Simplify right side
    380,291.88x = 80,104,318,941.92
  5. Step 5: Solve for x
    x = 80,104,318,941.92/380,291.88
  6. Step 6: Final answer
    x = 210,639.05

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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.