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Finding the Fourth Proportional to 631,864.63, 871,973.13 and 345,385.86

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Solution

The fourth proportional to 631,864.63, 871,973.13 and 345,385.86 is: 476,632.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,864.63 : 871,973.13 = 345,385.86 : x
  2. Step 2: Convert to fraction form
    631,864.63/871,973.13 = 345,385.86/x
  3. Step 3: Cross multiply
    631,864.63x = 871,973.13 × 345,385.86
  4. Step 4: Simplify right side
    631,864.63x = 301,167,189,401.94
  5. Step 5: Solve for x
    x = 301,167,189,401.94/631,864.63
  6. Step 6: Final answer
    x = 476,632.45

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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.