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Finding the Fourth Proportional to 379,406.16, 523,824.64 and 243,498.69

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Solution

The fourth proportional to 379,406.16, 523,824.64 and 243,498.69 is: 336,184.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,406.16 : 523,824.64 = 243,498.69 : x
  2. Step 2: Convert to fraction form
    379,406.16/523,824.64 = 243,498.69/x
  3. Step 3: Cross multiply
    379,406.16x = 523,824.64 × 243,498.69
  4. Step 4: Simplify right side
    379,406.16x = 127,550,613,020.98
  5. Step 5: Solve for x
    x = 127,550,613,020.98/379,406.16
  6. Step 6: Final answer
    x = 336,184.88

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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.