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Finding the Fourth Proportional to 315,277.60, 435,074.88 and 172,039.36

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Solution

The fourth proportional to 315,277.60, 435,074.88 and 172,039.36 is: 237,409.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,277.60 : 435,074.88 = 172,039.36 : x
  2. Step 2: Convert to fraction form
    315,277.60/435,074.88 = 172,039.36/x
  3. Step 3: Cross multiply
    315,277.60x = 435,074.88 × 172,039.36
  4. Step 4: Simplify right side
    315,277.60x = 74,850,003,907.28
  5. Step 5: Solve for x
    x = 74,850,003,907.28/315,277.60
  6. Step 6: Final answer
    x = 237,409.84

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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.