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Finding the Fourth Proportional to 347,020.31, 478,889.31 and 201,860.93

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Solution

The fourth proportional to 347,020.31, 478,889.31 and 201,860.93 is: 278,568.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,020.31 : 478,889.31 = 201,860.93 : x
  2. Step 2: Convert to fraction form
    347,020.31/478,889.31 = 201,860.93/x
  3. Step 3: Cross multiply
    347,020.31x = 478,889.31 × 201,860.93
  4. Step 4: Simplify right side
    347,020.31x = 96,669,038,079.91
  5. Step 5: Solve for x
    x = 96,669,038,079.91/347,020.31
  6. Step 6: Final answer
    x = 278,568.82

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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.