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Finding the Fourth Proportional to 258,903.64, 388,225.59 and 150,868

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Solution

The fourth proportional to 258,903.64, 388,225.59 and 150,868 is: 226,226.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,903.64 : 388,225.59 = 150,868 : x
  2. Step 2: Convert to fraction form
    258,903.64/388,225.59 = 150,868/x
  3. Step 3: Cross multiply
    258,903.64x = 388,225.59 × 150,868
  4. Step 4: Simplify right side
    258,903.64x = 58,570,818,312.12
  5. Step 5: Solve for x
    x = 58,570,818,312.12/258,903.64
  6. Step 6: Final answer
    x = 226,226.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.