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Finding the Fourth Proportional to 471,710.80, 706,529.40 and 284,395.60

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Solution

The fourth proportional to 471,710.80, 706,529.40 and 284,395.60 is: 425,968.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,710.80 : 706,529.40 = 284,395.60 : x
  2. Step 2: Convert to fraction form
    471,710.80/706,529.40 = 284,395.60/x
  3. Step 3: Cross multiply
    471,710.80x = 706,529.40 × 284,395.60
  4. Step 4: Simplify right side
    471,710.80x = 200,933,852,630.64
  5. Step 5: Solve for x
    x = 200,933,852,630.64/471,710.80
  6. Step 6: Final answer
    x = 425,968.31

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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.