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Finding the Fourth Proportional to 505,243.72, 697,225.08 and 275,805.28

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Solution

The fourth proportional to 505,243.72, 697,225.08 and 275,805.28 is: 380,605.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,243.72 : 697,225.08 = 275,805.28 : x
  2. Step 2: Convert to fraction form
    505,243.72/697,225.08 = 275,805.28/x
  3. Step 3: Cross multiply
    505,243.72x = 697,225.08 × 275,805.28
  4. Step 4: Simplify right side
    505,243.72x = 192,298,358,412.42
  5. Step 5: Solve for x
    x = 192,298,358,412.42/505,243.72
  6. Step 6: Final answer
    x = 380,605.14

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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.