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Finding the Fourth Proportional to 315,323.25, 435,155.31 and 172,092.48

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Solution

The fourth proportional to 315,323.25, 435,155.31 and 172,092.48 is: 237,492.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,323.25 : 435,155.31 = 172,092.48 : x
  2. Step 2: Convert to fraction form
    315,323.25/435,155.31 = 172,092.48/x
  3. Step 3: Cross multiply
    315,323.25x = 435,155.31 × 172,092.48
  4. Step 4: Simplify right side
    315,323.25x = 74,886,956,483.07
  5. Step 5: Solve for x
    x = 74,886,956,483.07/315,323.25
  6. Step 6: Final answer
    x = 237,492.66

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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.