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Finding the Fourth Proportional to 310,409.40, 465,743.70 and 100,111.80

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Solution

The fourth proportional to 310,409.40, 465,743.70 and 100,111.80 is: 150,209.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,409.40 : 465,743.70 = 100,111.80 : x
  2. Step 2: Convert to fraction form
    310,409.40/465,743.70 = 100,111.80/x
  3. Step 3: Cross multiply
    310,409.40x = 465,743.70 × 100,111.80
  4. Step 4: Simplify right side
    310,409.40x = 46,626,440,145.66
  5. Step 5: Solve for x
    x = 46,626,440,145.66/310,409.40
  6. Step 6: Final answer
    x = 150,209.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.