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Finding the Fourth Proportional to 257,284.96, 355,056.96 and 149,852.16

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Solution

The fourth proportional to 257,284.96, 355,056.96 and 149,852.16 is: 206,798.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,284.96 : 355,056.96 = 149,852.16 : x
  2. Step 2: Convert to fraction form
    257,284.96/355,056.96 = 149,852.16/x
  3. Step 3: Cross multiply
    257,284.96x = 355,056.96 × 149,852.16
  4. Step 4: Simplify right side
    257,284.96x = 53,206,052,379.03
  5. Step 5: Solve for x
    x = 53,206,052,379.03/257,284.96
  6. Step 6: Final answer
    x = 206,798.14

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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.