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Finding the Fourth Proportional to 460,647.30, 691,408.35 and 283,500.30

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Solution

The fourth proportional to 460,647.30, 691,408.35 and 283,500.30 is: 425,519.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,647.30 : 691,408.35 = 283,500.30 : x
  2. Step 2: Convert to fraction form
    460,647.30/691,408.35 = 283,500.30/x
  3. Step 3: Cross multiply
    460,647.30x = 691,408.35 × 283,500.30
  4. Step 4: Simplify right side
    460,647.30x = 196,014,474,647.51
  5. Step 5: Solve for x
    x = 196,014,474,647.51/460,647.30
  6. Step 6: Final answer
    x = 425,519.64

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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.