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Finding the Fourth Proportional to 257,412.90, 386,228.70 and 124,224.60

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Solution

The fourth proportional to 257,412.90, 386,228.70 and 124,224.60 is: 186,389.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,412.90 : 386,228.70 = 124,224.60 : x
  2. Step 2: Convert to fraction form
    257,412.90/386,228.70 = 124,224.60/x
  3. Step 3: Cross multiply
    257,412.90x = 386,228.70 × 124,224.60
  4. Step 4: Simplify right side
    257,412.90x = 47,979,105,766.02
  5. Step 5: Solve for x
    x = 47,979,105,766.02/257,412.90
  6. Step 6: Final answer
    x = 186,389.67

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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.