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Finding the Fourth Proportional to 502,414.70, 752,455.65 and 343,784.30

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Solution

The fourth proportional to 502,414.70, 752,455.65 and 343,784.30 is: 514,878.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,414.70 : 752,455.65 = 343,784.30 : x
  2. Step 2: Convert to fraction form
    502,414.70/752,455.65 = 343,784.30/x
  3. Step 3: Cross multiply
    502,414.70x = 752,455.65 × 343,784.30
  4. Step 4: Simplify right side
    502,414.70x = 258,682,438,916.30
  5. Step 5: Solve for x
    x = 258,682,438,916.30/502,414.70
  6. Step 6: Final answer
    x = 514,878.32

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1.5x scale

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.