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Finding the Fourth Proportional to 420,085.20, 630,185.40 and 139,573.20

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Solution

The fourth proportional to 420,085.20, 630,185.40 and 139,573.20 is: 209,378.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,085.20 : 630,185.40 = 139,573.20 : x
  2. Step 2: Convert to fraction form
    420,085.20/630,185.40 = 139,573.20/x
  3. Step 3: Cross multiply
    420,085.20x = 630,185.40 × 139,573.20
  4. Step 4: Simplify right side
    420,085.20x = 87,956,992,871.28
  5. Step 5: Solve for x
    x = 87,956,992,871.28/420,085.20
  6. Step 6: Final answer
    x = 209,378.94

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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.