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Finding the Fourth Proportional to 257,215.45, 354,869.76 and 149,762.74

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Solution

The fourth proportional to 257,215.45, 354,869.76 and 149,762.74 is: 206,621.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,215.45 : 354,869.76 = 149,762.74 : x
  2. Step 2: Convert to fraction form
    257,215.45/354,869.76 = 149,762.74/x
  3. Step 3: Cross multiply
    257,215.45x = 354,869.76 × 149,762.74
  4. Step 4: Simplify right side
    257,215.45x = 53,146,267,600.74
  5. Step 5: Solve for x
    x = 53,146,267,600.74/257,215.45
  6. Step 6: Final answer
    x = 206,621.60

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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.