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Finding the Fourth Proportional to 257,837.76, 355,728.06 and 150,319.32

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Solution

The fourth proportional to 257,837.76, 355,728.06 and 150,319.32 is: 207,389.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,837.76 : 355,728.06 = 150,319.32 : x
  2. Step 2: Convert to fraction form
    257,837.76/355,728.06 = 150,319.32/x
  3. Step 3: Cross multiply
    257,837.76x = 355,728.06 × 150,319.32
  4. Step 4: Simplify right side
    257,837.76x = 53,472,800,084.12
  5. Step 5: Solve for x
    x = 53,472,800,084.12/257,837.76
  6. Step 6: Final answer
    x = 207,389.33

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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.