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Finding the Fourth Proportional to 427,013, 589,278.90 and 257,254.28

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Solution

The fourth proportional to 427,013, 589,278.90 and 257,254.28 is: 355,011.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,013 : 589,278.90 = 257,254.28 : x
  2. Step 2: Convert to fraction form
    427,013/589,278.90 = 257,254.28/x
  3. Step 3: Cross multiply
    427,013x = 589,278.90 × 257,254.28
  4. Step 4: Simplify right side
    427,013x = 151,594,519,138.69
  5. Step 5: Solve for x
    x = 151,594,519,138.69/427,013
  6. Step 6: Final answer
    x = 355,011.48

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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.