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Finding the Fourth Proportional to 513,728.19, 708,934.29 and 284,285.33

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Solution

The fourth proportional to 513,728.19, 708,934.29 and 284,285.33 is: 392,307.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,728.19 : 708,934.29 = 284,285.33 : x
  2. Step 2: Convert to fraction form
    513,728.19/708,934.29 = 284,285.33/x
  3. Step 3: Cross multiply
    513,728.19x = 708,934.29 × 284,285.33
  4. Step 4: Simplify right side
    513,728.19x = 201,539,616,628.73
  5. Step 5: Solve for x
    x = 201,539,616,628.73/513,728.19
  6. Step 6: Final answer
    x = 392,307.88

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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.