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Finding the Fourth Proportional to 505,403.06, 697,373.87 and 298,642.68

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Solution

The fourth proportional to 505,403.06, 697,373.87 and 298,642.68 is: 412,078.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,403.06 : 697,373.87 = 298,642.68 : x
  2. Step 2: Convert to fraction form
    505,403.06/697,373.87 = 298,642.68/x
  3. Step 3: Cross multiply
    505,403.06x = 697,373.87 × 298,642.68
  4. Step 4: Simplify right side
    505,403.06x = 208,265,601,498.77
  5. Step 5: Solve for x
    x = 208,265,601,498.77/505,403.06
  6. Step 6: Final answer
    x = 412,078.24

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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.