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Finding the Fourth Proportional to 257,448.67, 355,300.12 and 142,763.26

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Solution

The fourth proportional to 257,448.67, 355,300.12 and 142,763.26 is: 197,024.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,448.67 : 355,300.12 = 142,763.26 : x
  2. Step 2: Convert to fraction form
    257,448.67/355,300.12 = 142,763.26/x
  3. Step 3: Cross multiply
    257,448.67x = 355,300.12 × 142,763.26
  4. Step 4: Simplify right side
    257,448.67x = 50,723,803,365.98
  5. Step 5: Solve for x
    x = 50,723,803,365.98/257,448.67
  6. Step 6: Final answer
    x = 197,024.92

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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.