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Finding the Fourth Proportional to 631,654.87, 947,973.64 and 440,875.86

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Solution

The fourth proportional to 631,654.87, 947,973.64 and 440,875.86 is: 661,656.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,654.87 : 947,973.64 = 440,875.86 : x
  2. Step 2: Convert to fraction form
    631,654.87/947,973.64 = 440,875.86/x
  3. Step 3: Cross multiply
    631,654.87x = 947,973.64 × 440,875.86
  4. Step 4: Simplify right side
    631,654.87x = 417,938,693,792.33
  5. Step 5: Solve for x
    x = 417,938,693,792.33/631,654.87
  6. Step 6: Final answer
    x = 661,656.73

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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.