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Finding the Fourth Proportional to 210,880.95, 315,971.46 and 148,420.23

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Solution

The fourth proportional to 210,880.95, 315,971.46 and 148,420.23 is: 222,384.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,880.95 : 315,971.46 = 148,420.23 : x
  2. Step 2: Convert to fraction form
    210,880.95/315,971.46 = 148,420.23/x
  3. Step 3: Cross multiply
    210,880.95x = 315,971.46 × 148,420.23
  4. Step 4: Simplify right side
    210,880.95x = 46,896,556,766.64
  5. Step 5: Solve for x
    x = 46,896,556,766.64/210,880.95
  6. Step 6: Final answer
    x = 222,384.04

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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.