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Finding the Fourth Proportional to 505,204.80, 697,320 and 290,366.88

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Solution

The fourth proportional to 505,204.80, 697,320 and 290,366.88 is: 400,785.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,204.80 : 697,320 = 290,366.88 : x
  2. Step 2: Convert to fraction form
    505,204.80/697,320 = 290,366.88/x
  3. Step 3: Cross multiply
    505,204.80x = 697,320 × 290,366.88
  4. Step 4: Simplify right side
    505,204.80x = 202,478,632,761.60
  5. Step 5: Solve for x
    x = 202,478,632,761.60/505,204.80
  6. Step 6: Final answer
    x = 400,785.25

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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.