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Finding the Fourth Proportional to 290,169.78, 399,775.60 and 224,532.93

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Solution

The fourth proportional to 290,169.78, 399,775.60 and 224,532.93 is: 309,345.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,169.78 : 399,775.60 = 224,532.93 : x
  2. Step 2: Convert to fraction form
    290,169.78/399,775.60 = 224,532.93/x
  3. Step 3: Cross multiply
    290,169.78x = 399,775.60 × 224,532.93
  4. Step 4: Simplify right side
    290,169.78x = 89,762,786,810.51
  5. Step 5: Solve for x
    x = 89,762,786,810.51/290,169.78
  6. Step 6: Final answer
    x = 309,345.75

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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.