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Finding the Fourth Proportional to 342,806.53, 514,541.49 and 165,438.40

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Solution

The fourth proportional to 342,806.53, 514,541.49 and 165,438.40 is: 248,317.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,806.53 : 514,541.49 = 165,438.40 : x
  2. Step 2: Convert to fraction form
    342,806.53/514,541.49 = 165,438.40/x
  3. Step 3: Cross multiply
    342,806.53x = 514,541.49 × 165,438.40
  4. Step 4: Simplify right side
    342,806.53x = 85,124,920,839.22
  5. Step 5: Solve for x
    x = 85,124,920,839.22/342,806.53
  6. Step 6: Final answer
    x = 248,317.68

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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.