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Finding the Fourth Proportional to 343,290, 473,769.36 and 192,416.16

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Solution

The fourth proportional to 343,290, 473,769.36 and 192,416.16 is: 265,550.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,290 : 473,769.36 = 192,416.16 : x
  2. Step 2: Convert to fraction form
    343,290/473,769.36 = 192,416.16/x
  3. Step 3: Cross multiply
    343,290x = 473,769.36 × 192,416.16
  4. Step 4: Simplify right side
    343,290x = 91,160,880,976.86
  5. Step 5: Solve for x
    x = 91,160,880,976.86/343,290
  6. Step 6: Final answer
    x = 265,550.65

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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.