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Finding the Fourth Proportional to 314,897.31, 472,243.64 and 104,478.75

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Solution

The fourth proportional to 314,897.31, 472,243.64 and 104,478.75 is: 156,684.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,897.31 : 472,243.64 = 104,478.75 : x
  2. Step 2: Convert to fraction form
    314,897.31/472,243.64 = 104,478.75/x
  3. Step 3: Cross multiply
    314,897.31x = 472,243.64 × 104,478.75
  4. Step 4: Simplify right side
    314,897.31x = 49,339,424,680.26
  5. Step 5: Solve for x
    x = 49,339,424,680.26/314,897.31
  6. Step 6: Final answer
    x = 156,684.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.