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Finding the Fourth Proportional to 421,130.34, 580,174.65 and 293,578.02

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Solution

The fourth proportional to 421,130.34, 580,174.65 and 293,578.02 is: 404,450.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,130.34 : 580,174.65 = 293,578.02 : x
  2. Step 2: Convert to fraction form
    421,130.34/580,174.65 = 293,578.02/x
  3. Step 3: Cross multiply
    421,130.34x = 580,174.65 × 293,578.02
  4. Step 4: Simplify right side
    421,130.34x = 170,326,525,001.19
  5. Step 5: Solve for x
    x = 170,326,525,001.19/421,130.34
  6. Step 6: Final answer
    x = 404,450.85

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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.