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Finding the Fourth Proportional to 343,908.72, 473,813.30 and 266,116.86

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Solution

The fourth proportional to 343,908.72, 473,813.30 and 266,116.86 is: 366,637.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,908.72 : 473,813.30 = 266,116.86 : x
  2. Step 2: Convert to fraction form
    343,908.72/473,813.30 = 266,116.86/x
  3. Step 3: Cross multiply
    343,908.72x = 473,813.30 × 266,116.86
  4. Step 4: Simplify right side
    343,908.72x = 126,089,708,287.53
  5. Step 5: Solve for x
    x = 126,089,708,287.53/343,908.72
  6. Step 6: Final answer
    x = 366,637.14

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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.