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Finding the Fourth Proportional to 343,424.86, 512,610.83 and 319,358.14

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Solution

The fourth proportional to 343,424.86, 512,610.83 and 319,358.14 is: 476,687.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,424.86 : 512,610.83 = 319,358.14 : x
  2. Step 2: Convert to fraction form
    343,424.86/512,610.83 = 319,358.14/x
  3. Step 3: Cross multiply
    343,424.86x = 512,610.83 × 319,358.14
  4. Step 4: Simplify right side
    343,424.86x = 163,706,441,212.66
  5. Step 5: Solve for x
    x = 163,706,441,212.66/343,424.86
  6. Step 6: Final answer
    x = 476,687.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.