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Finding the Fourth Proportional to 343,701.64, 515,345.35 and 154,127.72

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Solution

The fourth proportional to 343,701.64, 515,345.35 and 154,127.72 is: 231,098.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,701.64 : 515,345.35 = 154,127.72 : x
  2. Step 2: Convert to fraction form
    343,701.64/515,345.35 = 154,127.72/x
  3. Step 3: Cross multiply
    343,701.64x = 515,345.35 × 154,127.72
  4. Step 4: Simplify right side
    343,701.64x = 79,429,004,711.15
  5. Step 5: Solve for x
    x = 79,429,004,711.15/343,701.64
  6. Step 6: Final answer
    x = 231,098.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.