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Finding the Fourth Proportional to 469,142.47, 703,605.57 and 279,656.20

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Solution

The fourth proportional to 469,142.47, 703,605.57 and 279,656.20 is: 419,419.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,142.47 : 703,605.57 = 279,656.20 : x
  2. Step 2: Convert to fraction form
    469,142.47/703,605.57 = 279,656.20/x
  3. Step 3: Cross multiply
    469,142.47x = 703,605.57 × 279,656.20
  4. Step 4: Simplify right side
    469,142.47x = 196,767,660,005.03
  5. Step 5: Solve for x
    x = 196,767,660,005.03/469,142.47
  6. Step 6: Final answer
    x = 419,419.84

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1.5x scale

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.