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Finding the Fourth Proportional to 420,098.40, 630,147.60 and 139,615.65

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Solution

The fourth proportional to 420,098.40, 630,147.60 and 139,615.65 is: 209,423.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,098.40 : 630,147.60 = 139,615.65 : x
  2. Step 2: Convert to fraction form
    420,098.40/630,147.60 = 139,615.65/x
  3. Step 3: Cross multiply
    420,098.40x = 630,147.60 × 139,615.65
  4. Step 4: Simplify right side
    420,098.40x = 87,978,466,769.94
  5. Step 5: Solve for x
    x = 87,978,466,769.94/420,098.40
  6. Step 6: Final answer
    x = 209,423.48

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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.