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Finding the Fourth Proportional to 315,273.14, 435,078.06 and 172,036.34

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Solution

The fourth proportional to 315,273.14, 435,078.06 and 172,036.34 is: 237,410.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,273.14 : 435,078.06 = 172,036.34 : x
  2. Step 2: Convert to fraction form
    315,273.14/435,078.06 = 172,036.34/x
  3. Step 3: Cross multiply
    315,273.14x = 435,078.06 × 172,036.34
  4. Step 4: Simplify right side
    315,273.14x = 74,849,237,056.70
  5. Step 5: Solve for x
    x = 74,849,237,056.70/315,273.14
  6. Step 6: Final answer
    x = 237,410.76

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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.