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Finding the Fourth Proportional to 296,489.16, 409,222.28 and 231,830.48

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Solution

The fourth proportional to 296,489.16, 409,222.28 and 231,830.48 is: 319,978.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,489.16 : 409,222.28 = 231,830.48 : x
  2. Step 2: Convert to fraction form
    296,489.16/409,222.28 = 231,830.48/x
  3. Step 3: Cross multiply
    296,489.16x = 409,222.28 × 231,830.48
  4. Step 4: Simplify right side
    296,489.16x = 94,870,197,599.09
  5. Step 5: Solve for x
    x = 94,870,197,599.09/296,489.16
  6. Step 6: Final answer
    x = 319,978.64

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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.