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Finding the Fourth Proportional to 613,251.64, 920,030.56 and 213,898.16

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Solution

The fourth proportional to 613,251.64, 920,030.56 and 213,898.16 is: 320,900.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,251.64 : 920,030.56 = 213,898.16 : x
  2. Step 2: Convert to fraction form
    613,251.64/920,030.56 = 213,898.16/x
  3. Step 3: Cross multiply
    613,251.64x = 920,030.56 × 213,898.16
  4. Step 4: Simplify right side
    613,251.64x = 196,792,843,927.77
  5. Step 5: Solve for x
    x = 196,792,843,927.77/613,251.64
  6. Step 6: Final answer
    x = 320,900.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.