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Finding the Fourth Proportional to 510,408.80, 704,357.22 and 284,054.30

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Solution

The fourth proportional to 510,408.80, 704,357.22 and 284,054.30 is: 391,991.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,408.80 : 704,357.22 = 284,054.30 : x
  2. Step 2: Convert to fraction form
    510,408.80/704,357.22 = 284,054.30/x
  3. Step 3: Cross multiply
    510,408.80x = 704,357.22 × 284,054.30
  4. Step 4: Simplify right side
    510,408.80x = 200,075,697,077.05
  5. Step 5: Solve for x
    x = 200,075,697,077.05/510,408.80
  6. Step 6: Final answer
    x = 391,991.08

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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.