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Finding the Fourth Proportional to 420,640.50, 630,962.10 and 105,097.44

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Solution

The fourth proportional to 420,640.50, 630,962.10 and 105,097.44 is: 157,646.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,640.50 : 630,962.10 = 105,097.44 : x
  2. Step 2: Convert to fraction form
    420,640.50/630,962.10 = 105,097.44/x
  3. Step 3: Cross multiply
    420,640.50x = 630,962.10 × 105,097.44
  4. Step 4: Simplify right side
    420,640.50x = 66,312,501,447.02
  5. Step 5: Solve for x
    x = 66,312,501,447.02/420,640.50
  6. Step 6: Final answer
    x = 157,646.50

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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.