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Finding the Fourth Proportional to 620,916.84, 931,471.92 and 200,235.24

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Solution

The fourth proportional to 620,916.84, 931,471.92 and 200,235.24 is: 300,384.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,916.84 : 931,471.92 = 200,235.24 : x
  2. Step 2: Convert to fraction form
    620,916.84/931,471.92 = 200,235.24/x
  3. Step 3: Cross multiply
    620,916.84x = 931,471.92 × 200,235.24
  4. Step 4: Simplify right side
    620,916.84x = 186,513,503,454.46
  5. Step 5: Solve for x
    x = 186,513,503,454.46/620,916.84
  6. Step 6: Final answer
    x = 300,384.03

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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.