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Finding the Fourth Proportional to 315,009.61, 434,711.51 and 171,766.58

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Solution

The fourth proportional to 315,009.61, 434,711.51 and 171,766.58 is: 237,036.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,009.61 : 434,711.51 = 171,766.58 : x
  2. Step 2: Convert to fraction form
    315,009.61/434,711.51 = 171,766.58/x
  3. Step 3: Cross multiply
    315,009.61x = 434,711.51 × 171,766.58
  4. Step 4: Simplify right side
    315,009.61x = 74,668,906,971.07
  5. Step 5: Solve for x
    x = 74,668,906,971.07/315,009.61
  6. Step 6: Final answer
    x = 237,036.92

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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.