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Finding the Fourth Proportional to 315,077.10, 434,801.10 and 171,828.60

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Solution

The fourth proportional to 315,077.10, 434,801.10 and 171,828.60 is: 237,120.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,077.10 : 434,801.10 = 171,828.60 : x
  2. Step 2: Convert to fraction form
    315,077.10/434,801.10 = 171,828.60/x
  3. Step 3: Cross multiply
    315,077.10x = 434,801.10 × 171,828.60
  4. Step 4: Simplify right side
    315,077.10x = 74,711,264,291.46
  5. Step 5: Solve for x
    x = 74,711,264,291.46/315,077.10
  6. Step 6: Final answer
    x = 237,120.58

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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.