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Finding the Fourth Proportional to 708,915.89, 978,265 and 402,949.73

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Solution

The fourth proportional to 708,915.89, 978,265 and 402,949.73 is: 556,048.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,915.89 : 978,265 = 402,949.73 : x
  2. Step 2: Convert to fraction form
    708,915.89/978,265 = 402,949.73/x
  3. Step 3: Cross multiply
    708,915.89x = 978,265 × 402,949.73
  4. Step 4: Simplify right side
    708,915.89x = 394,191,617,618.45
  5. Step 5: Solve for x
    x = 394,191,617,618.45/708,915.89
  6. Step 6: Final answer
    x = 556,048.50

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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.