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Finding the Fourth Proportional to 471,480, 707,349.84 and 139,056

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Solution

The fourth proportional to 471,480, 707,349.84 and 139,056 is: 208,622.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,480 : 707,349.84 = 139,056 : x
  2. Step 2: Convert to fraction form
    471,480/707,349.84 = 139,056/x
  3. Step 3: Cross multiply
    471,480x = 707,349.84 × 139,056
  4. Step 4: Simplify right side
    471,480x = 98,361,239,351.04
  5. Step 5: Solve for x
    x = 98,361,239,351.04/471,480
  6. Step 6: Final answer
    x = 208,622.29

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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.