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Finding the Fourth Proportional to 631,266.84, 946,903.80 and 210,541.50

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Solution

The fourth proportional to 631,266.84, 946,903.80 and 210,541.50 is: 315,813.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,266.84 : 946,903.80 = 210,541.50 : x
  2. Step 2: Convert to fraction form
    631,266.84/946,903.80 = 210,541.50/x
  3. Step 3: Cross multiply
    631,266.84x = 946,903.80 × 210,541.50
  4. Step 4: Simplify right side
    631,266.84x = 199,362,546,407.70
  5. Step 5: Solve for x
    x = 199,362,546,407.70/631,266.84
  6. Step 6: Final answer
    x = 315,813.43

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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.