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Finding the Fourth Proportional to 257,223.40, 354,968.20 and 142,509.48

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Solution

The fourth proportional to 257,223.40, 354,968.20 and 142,509.48 is: 196,663.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,223.40 : 354,968.20 = 142,509.48 : x
  2. Step 2: Convert to fraction form
    257,223.40/354,968.20 = 142,509.48/x
  3. Step 3: Cross multiply
    257,223.40x = 354,968.20 × 142,509.48
  4. Step 4: Simplify right side
    257,223.40x = 50,586,333,598.54
  5. Step 5: Solve for x
    x = 50,586,333,598.54/257,223.40
  6. Step 6: Final answer
    x = 196,663.03

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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.