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Finding the Fourth Proportional to 364,347.45, 542,857.77 and 343,975.50

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Solution

The fourth proportional to 364,347.45, 542,857.77 and 343,975.50 is: 512,504.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,347.45 : 542,857.77 = 343,975.50 : x
  2. Step 2: Convert to fraction form
    364,347.45/542,857.77 = 343,975.50/x
  3. Step 3: Cross multiply
    364,347.45x = 542,857.77 × 343,975.50
  4. Step 4: Simplify right side
    364,347.45x = 186,729,772,864.64
  5. Step 5: Solve for x
    x = 186,729,772,864.64/364,347.45
  6. Step 6: Final answer
    x = 512,504.68

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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.