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Finding the Fourth Proportional to 315,906.52, 435,668.70 and 262,106.32

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Solution

The fourth proportional to 315,906.52, 435,668.70 and 262,106.32 is: 361,472.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,906.52 : 435,668.70 = 262,106.32 : x
  2. Step 2: Convert to fraction form
    315,906.52/435,668.70 = 262,106.32/x
  3. Step 3: Cross multiply
    315,906.52x = 435,668.70 × 262,106.32
  4. Step 4: Simplify right side
    315,906.52x = 114,191,519,696.18
  5. Step 5: Solve for x
    x = 114,191,519,696.18/315,906.52
  6. Step 6: Final answer
    x = 361,472.50

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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.