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Finding the Fourth Proportional to 420,640.75, 630,962.48 and 105,097.69

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Solution

The fourth proportional to 420,640.75, 630,962.48 and 105,097.69 is: 157,646.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,640.75 : 630,962.48 = 105,097.69 : x
  2. Step 2: Convert to fraction form
    420,640.75/630,962.48 = 105,097.69/x
  3. Step 3: Cross multiply
    420,640.75x = 630,962.48 × 105,097.69
  4. Step 4: Simplify right side
    420,640.75x = 66,312,698,599.18
  5. Step 5: Solve for x
    x = 66,312,698,599.18/420,640.75
  6. Step 6: Final answer
    x = 157,646.87

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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.