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Finding the Fourth Proportional to 514,328.86, 771,788.66 and 401,692.90

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Solution

The fourth proportional to 514,328.86, 771,788.66 and 401,692.90 is: 602,770.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,328.86 : 771,788.66 = 401,692.90 : x
  2. Step 2: Convert to fraction form
    514,328.86/771,788.66 = 401,692.90/x
  3. Step 3: Cross multiply
    514,328.86x = 771,788.66 × 401,692.90
  4. Step 4: Simplify right side
    514,328.86x = 310,022,020,361.03
  5. Step 5: Solve for x
    x = 310,022,020,361.03/514,328.86
  6. Step 6: Final answer
    x = 602,770.02

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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.