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Finding the Fourth Proportional to 421,810.17, 632,927.49 and 169,271.13

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Solution

The fourth proportional to 421,810.17, 632,927.49 and 169,271.13 is: 253,991.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,810.17 : 632,927.49 = 169,271.13 : x
  2. Step 2: Convert to fraction form
    421,810.17/632,927.49 = 169,271.13/x
  3. Step 3: Cross multiply
    421,810.17x = 632,927.49 × 169,271.13
  4. Step 4: Simplify right side
    421,810.17x = 107,136,353,179.08
  5. Step 5: Solve for x
    x = 107,136,353,179.08/421,810.17
  6. Step 6: Final answer
    x = 253,991.87

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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.