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Finding the Fourth Proportional to 471,492, 707,257.44 and 139,068

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Solution

The fourth proportional to 471,492, 707,257.44 and 139,068 is: 208,607.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,492 : 707,257.44 = 139,068 : x
  2. Step 2: Convert to fraction form
    471,492/707,257.44 = 139,068/x
  3. Step 3: Cross multiply
    471,492x = 707,257.44 × 139,068
  4. Step 4: Simplify right side
    471,492x = 98,356,877,665.92
  5. Step 5: Solve for x
    x = 98,356,877,665.92/471,492
  6. Step 6: Final answer
    x = 208,607.73

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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.