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Finding the Fourth Proportional to 631,862.88, 871,970.72 and 345,384.11

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Solution

The fourth proportional to 631,862.88, 871,970.72 and 345,384.11 is: 476,630.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,862.88 : 871,970.72 = 345,384.11 : x
  2. Step 2: Convert to fraction form
    631,862.88/871,970.72 = 345,384.11/x
  3. Step 3: Cross multiply
    631,862.88x = 871,970.72 × 345,384.11
  4. Step 4: Simplify right side
    631,862.88x = 301,164,824,986.49
  5. Step 5: Solve for x
    x = 301,164,824,986.49/631,862.88
  6. Step 6: Final answer
    x = 476,630.03

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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.