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Finding the Fourth Proportional to 343,485.64, 473,920.50 and 198,255.88

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Solution

The fourth proportional to 343,485.64, 473,920.50 and 198,255.88 is: 273,541.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,485.64 : 473,920.50 = 198,255.88 : x
  2. Step 2: Convert to fraction form
    343,485.64/473,920.50 = 198,255.88/x
  3. Step 3: Cross multiply
    343,485.64x = 473,920.50 × 198,255.88
  4. Step 4: Simplify right side
    343,485.64x = 93,957,525,777.54
  5. Step 5: Solve for x
    x = 93,957,525,777.54/343,485.64
  6. Step 6: Final answer
    x = 273,541.35

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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.