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Finding the Fourth Proportional to 343,078.27, 473,472.94 and 207,145.28

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Solution

The fourth proportional to 343,078.27, 473,472.94 and 207,145.28 is: 285,875.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,078.27 : 473,472.94 = 207,145.28 : x
  2. Step 2: Convert to fraction form
    343,078.27/473,472.94 = 207,145.28/x
  3. Step 3: Cross multiply
    343,078.27x = 473,472.94 × 207,145.28
  4. Step 4: Simplify right side
    343,078.27x = 98,077,684,728.72
  5. Step 5: Solve for x
    x = 98,077,684,728.72/343,078.27
  6. Step 6: Final answer
    x = 285,875.54

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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.