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Finding the Fourth Proportional to 631,534.86, 871,492.50 and 345,064.86

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Solution

The fourth proportional to 631,534.86, 871,492.50 and 345,064.86 is: 476,175.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,534.86 : 871,492.50 = 345,064.86 : x
  2. Step 2: Convert to fraction form
    631,534.86/871,492.50 = 345,064.86/x
  3. Step 3: Cross multiply
    631,534.86x = 871,492.50 × 345,064.86
  4. Step 4: Simplify right side
    631,534.86x = 300,721,437,503.55
  5. Step 5: Solve for x
    x = 300,721,437,503.55/631,534.86
  6. Step 6: Final answer
    x = 476,175.52

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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.