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Finding the Fourth Proportional to 347,838.40, 476,420.41 and 327,411.82

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Solution

The fourth proportional to 347,838.40, 476,420.41 and 327,411.82 is: 448,442.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,838.40 : 476,420.41 = 327,411.82 : x
  2. Step 2: Convert to fraction form
    347,838.40/476,420.41 = 327,411.82/x
  3. Step 3: Cross multiply
    347,838.40x = 476,420.41 × 327,411.82
  4. Step 4: Simplify right side
    347,838.40x = 155,985,671,141.14
  5. Step 5: Solve for x
    x = 155,985,671,141.14/347,838.40
  6. Step 6: Final answer
    x = 448,442.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.