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Finding the Fourth Proportional to 445,857.71, 668,646.06 and 146,268.47

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Solution

The fourth proportional to 445,857.71, 668,646.06 and 146,268.47 is: 219,356.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,857.71 : 668,646.06 = 146,268.47 : x
  2. Step 2: Convert to fraction form
    445,857.71/668,646.06 = 146,268.47/x
  3. Step 3: Cross multiply
    445,857.71x = 668,646.06 × 146,268.47
  4. Step 4: Simplify right side
    445,857.71x = 97,801,837,839.34
  5. Step 5: Solve for x
    x = 97,801,837,839.34/445,857.71
  6. Step 6: Final answer
    x = 219,356.62

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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.