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Finding the Fourth Proportional to 282,396.90, 423,923.40 and 170,203.80

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Solution

The fourth proportional to 282,396.90, 423,923.40 and 170,203.80 is: 255,503.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,396.90 : 423,923.40 = 170,203.80 : x
  2. Step 2: Convert to fraction form
    282,396.90/423,923.40 = 170,203.80/x
  3. Step 3: Cross multiply
    282,396.90x = 423,923.40 × 170,203.80
  4. Step 4: Simplify right side
    282,396.90x = 72,153,373,588.92
  5. Step 5: Solve for x
    x = 72,153,373,588.92/282,396.90
  6. Step 6: Final answer
    x = 255,503.42

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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.