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Finding the Fourth Proportional to 315,077.76, 434,802.06 and 171,829.26

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Solution

The fourth proportional to 315,077.76, 434,802.06 and 171,829.26 is: 237,121.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,077.76 : 434,802.06 = 171,829.26 : x
  2. Step 2: Convert to fraction form
    315,077.76/434,802.06 = 171,829.26/x
  3. Step 3: Cross multiply
    315,077.76x = 434,802.06 × 171,829.26
  4. Step 4: Simplify right side
    315,077.76x = 74,711,716,216.28
  5. Step 5: Solve for x
    x = 74,711,716,216.28/315,077.76
  6. Step 6: Final answer
    x = 237,121.52

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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.