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Finding the Fourth Proportional to 510,404.60, 704,343.66 and 284,045.24

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Solution

The fourth proportional to 510,404.60, 704,343.66 and 284,045.24 is: 391,974.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,404.60 : 704,343.66 = 284,045.24 : x
  2. Step 2: Convert to fraction form
    510,404.60/704,343.66 = 284,045.24/x
  3. Step 3: Cross multiply
    510,404.60x = 704,343.66 × 284,045.24
  4. Step 4: Simplify right side
    510,404.60x = 200,065,463,947.18
  5. Step 5: Solve for x
    x = 200,065,463,947.18/510,404.60
  6. Step 6: Final answer
    x = 391,974.26

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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.