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Finding the Fourth Proportional to 510,452.16, 704,412 and 284,092.80

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Solution

The fourth proportional to 510,452.16, 704,412 and 284,092.80 is: 392,041.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,452.16 : 704,412 = 284,092.80 : x
  2. Step 2: Convert to fraction form
    510,452.16/704,412 = 284,092.80/x
  3. Step 3: Cross multiply
    510,452.16x = 704,412 × 284,092.80
  4. Step 4: Simplify right side
    510,452.16x = 200,118,377,433.60
  5. Step 5: Solve for x
    x = 200,118,377,433.60/510,452.16
  6. Step 6: Final answer
    x = 392,041.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.