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Finding the Fourth Proportional to 315,277.40, 472,959.30 and 104,893.40

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Solution

The fourth proportional to 315,277.40, 472,959.30 and 104,893.40 is: 157,354.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,277.40 : 472,959.30 = 104,893.40 : x
  2. Step 2: Convert to fraction form
    315,277.40/472,959.30 = 104,893.40/x
  3. Step 3: Cross multiply
    315,277.40x = 472,959.30 × 104,893.40
  4. Step 4: Simplify right side
    315,277.40x = 49,610,309,038.62
  5. Step 5: Solve for x
    x = 49,610,309,038.62/315,277.40
  6. Step 6: Final answer
    x = 157,354.47

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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.