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Finding the Fourth Proportional to 282,447, 389,811.42 and 163,215

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Solution

The fourth proportional to 282,447, 389,811.42 and 163,215 is: 225,256.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,447 : 389,811.42 = 163,215 : x
  2. Step 2: Convert to fraction form
    282,447/389,811.42 = 163,215/x
  3. Step 3: Cross multiply
    282,447x = 389,811.42 × 163,215
  4. Step 4: Simplify right side
    282,447x = 63,623,070,915.30
  5. Step 5: Solve for x
    x = 63,623,070,915.30/282,447
  6. Step 6: Final answer
    x = 225,256.67

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1.5x scale

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.