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Finding the Fourth Proportional to 471,798, 707,816.88 and 139,374

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Solution

The fourth proportional to 471,798, 707,816.88 and 139,374 is: 209,096.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,798 : 707,816.88 = 139,374 : x
  2. Step 2: Convert to fraction form
    471,798/707,816.88 = 139,374/x
  3. Step 3: Cross multiply
    471,798x = 707,816.88 × 139,374
  4. Step 4: Simplify right side
    471,798x = 98,651,269,833.12
  5. Step 5: Solve for x
    x = 98,651,269,833.12/471,798
  6. Step 6: Final answer
    x = 209,096.41

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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.