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Finding the Fourth Proportional to 420,692.40, 630,844.20 and 183,913.20

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Solution

The fourth proportional to 420,692.40, 630,844.20 and 183,913.20 is: 275,784.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,692.40 : 630,844.20 = 183,913.20 : x
  2. Step 2: Convert to fraction form
    420,692.40/630,844.20 = 183,913.20/x
  3. Step 3: Cross multiply
    420,692.40x = 630,844.20 × 183,913.20
  4. Step 4: Simplify right side
    420,692.40x = 116,020,575,523.44
  5. Step 5: Solve for x
    x = 116,020,575,523.44/420,692.40
  6. Step 6: Final answer
    x = 275,784.81

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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.