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Finding the Fourth Proportional to 395,851.86, 546,335.01 and 311,603.22

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Solution

The fourth proportional to 395,851.86, 546,335.01 and 311,603.22 is: 430,059.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,851.86 : 546,335.01 = 311,603.22 : x
  2. Step 2: Convert to fraction form
    395,851.86/546,335.01 = 311,603.22/x
  3. Step 3: Cross multiply
    395,851.86x = 546,335.01 × 311,603.22
  4. Step 4: Simplify right side
    395,851.86x = 170,239,748,314.73
  5. Step 5: Solve for x
    x = 170,239,748,314.73/395,851.86
  6. Step 6: Final answer
    x = 430,059.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.