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Finding the Fourth Proportional to 631,653.87, 947,972.14 and 440,874.86

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Solution

The fourth proportional to 631,653.87, 947,972.14 and 440,874.86 is: 661,655.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,653.87 : 947,972.14 = 440,874.86 : x
  2. Step 2: Convert to fraction form
    631,653.87/947,972.14 = 440,874.86/x
  3. Step 3: Cross multiply
    631,653.87x = 947,972.14 × 440,874.86
  4. Step 4: Simplify right side
    631,653.87x = 417,937,078,788.41
  5. Step 5: Solve for x
    x = 417,937,078,788.41/631,653.87
  6. Step 6: Final answer
    x = 661,655.22

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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.