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Finding the Fourth Proportional to 343,992.30, 514,822.05 and 302,001.90

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Solution

The fourth proportional to 343,992.30, 514,822.05 and 302,001.90 is: 451,978.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,992.30 : 514,822.05 = 302,001.90 : x
  2. Step 2: Convert to fraction form
    343,992.30/514,822.05 = 302,001.90/x
  3. Step 3: Cross multiply
    343,992.30x = 514,822.05 × 302,001.90
  4. Step 4: Simplify right side
    343,992.30x = 155,477,237,261.90
  5. Step 5: Solve for x
    x = 155,477,237,261.90/343,992.30
  6. Step 6: Final answer
    x = 451,978.83

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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.