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Finding the Fourth Proportional to 395,407.96, 592,989.26 and 142,655.59

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Solution

The fourth proportional to 395,407.96, 592,989.26 and 142,655.59 is: 213,939.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,407.96 : 592,989.26 = 142,655.59 : x
  2. Step 2: Convert to fraction form
    395,407.96/592,989.26 = 142,655.59/x
  3. Step 3: Cross multiply
    395,407.96x = 592,989.26 × 142,655.59
  4. Step 4: Simplify right side
    395,407.96x = 84,593,229,784.02
  5. Step 5: Solve for x
    x = 84,593,229,784.02/395,407.96
  6. Step 6: Final answer
    x = 213,939.12

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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.