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Finding the Fourth Proportional to 540,389.70, 745,776.40 and 298,667.07

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Solution

The fourth proportional to 540,389.70, 745,776.40 and 298,667.07 is: 412,181.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,389.70 : 745,776.40 = 298,667.07 : x
  2. Step 2: Convert to fraction form
    540,389.70/745,776.40 = 298,667.07/x
  3. Step 3: Cross multiply
    540,389.70x = 745,776.40 × 298,667.07
  4. Step 4: Simplify right side
    540,389.70x = 222,738,851,516.48
  5. Step 5: Solve for x
    x = 222,738,851,516.48/540,389.70
  6. Step 6: Final answer
    x = 412,181.90

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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.