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Finding the Fourth Proportional to 505,097.58, 697,038.66 and 275,656.68

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Solution

The fourth proportional to 505,097.58, 697,038.66 and 275,656.68 is: 380,408.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,097.58 : 697,038.66 = 275,656.68 : x
  2. Step 2: Convert to fraction form
    505,097.58/697,038.66 = 275,656.68/x
  3. Step 3: Cross multiply
    505,097.58x = 697,038.66 × 275,656.68
  4. Step 4: Simplify right side
    505,097.58x = 192,143,362,847.25
  5. Step 5: Solve for x
    x = 192,143,362,847.25/505,097.58
  6. Step 6: Final answer
    x = 380,408.40

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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.