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Finding the Fourth Proportional to 420,282.66, 579,978.54 and 229,296

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Solution

The fourth proportional to 420,282.66, 579,978.54 and 229,296 is: 316,422.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,282.66 : 579,978.54 = 229,296 : x
  2. Step 2: Convert to fraction form
    420,282.66/579,978.54 = 229,296/x
  3. Step 3: Cross multiply
    420,282.66x = 579,978.54 × 229,296
  4. Step 4: Simplify right side
    420,282.66x = 132,986,759,307.84
  5. Step 5: Solve for x
    x = 132,986,759,307.84/420,282.66
  6. Step 6: Final answer
    x = 316,422.19

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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.