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Finding the Fourth Proportional to 520,916.40, 780,062.40 and 415,940.40

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Solution

The fourth proportional to 520,916.40, 780,062.40 and 415,940.40 is: 622,862.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,916.40 : 780,062.40 = 415,940.40 : x
  2. Step 2: Convert to fraction form
    520,916.40/780,062.40 = 415,940.40/x
  3. Step 3: Cross multiply
    520,916.40x = 780,062.40 × 415,940.40
  4. Step 4: Simplify right side
    520,916.40x = 324,459,466,680.96
  5. Step 5: Solve for x
    x = 324,459,466,680.96/520,916.40
  6. Step 6: Final answer
    x = 622,862.84

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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.