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Finding the Fourth Proportional to 656,816, 906,405.84 and 355,010

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Solution

The fourth proportional to 656,816, 906,405.84 and 355,010 is: 489,913.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,816 : 906,405.84 = 355,010 : x
  2. Step 2: Convert to fraction form
    656,816/906,405.84 = 355,010/x
  3. Step 3: Cross multiply
    656,816x = 906,405.84 × 355,010
  4. Step 4: Simplify right side
    656,816x = 321,783,137,258.40
  5. Step 5: Solve for x
    x = 321,783,137,258.40/656,816
  6. Step 6: Final answer
    x = 489,913.67

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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.