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Finding the Fourth Proportional to 601,840.80, 830,628.72 and 347,142.24

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Solution

The fourth proportional to 601,840.80, 830,628.72 and 347,142.24 is: 479,107.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,840.80 : 830,628.72 = 347,142.24 : x
  2. Step 2: Convert to fraction form
    601,840.80/830,628.72 = 347,142.24/x
  3. Step 3: Cross multiply
    601,840.80x = 830,628.72 × 347,142.24
  4. Step 4: Simplify right side
    601,840.80x = 288,346,314,469.13
  5. Step 5: Solve for x
    x = 288,346,314,469.13/601,840.80
  6. Step 6: Final answer
    x = 479,107.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.