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Finding the Fourth Proportional to 505,377.58, 697,338.79 and 298,617.22

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Solution

The fourth proportional to 505,377.58, 697,338.79 and 298,617.22 is: 412,043.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,377.58 : 697,338.79 = 298,617.22 : x
  2. Step 2: Convert to fraction form
    505,377.58/697,338.79 = 298,617.22/x
  3. Step 3: Cross multiply
    505,377.58x = 697,338.79 × 298,617.22
  4. Step 4: Simplify right side
    505,377.58x = 208,237,369,871.16
  5. Step 5: Solve for x
    x = 208,237,369,871.16/505,377.58
  6. Step 6: Final answer
    x = 412,043.15

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Double scale
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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.