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Finding the Fourth Proportional to 380,094.78, 524,534.50 and 210,328.50

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Solution

The fourth proportional to 380,094.78, 524,534.50 and 210,328.50 is: 290,255.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,094.78 : 524,534.50 = 210,328.50 : x
  2. Step 2: Convert to fraction form
    380,094.78/524,534.50 = 210,328.50/x
  3. Step 3: Cross multiply
    380,094.78x = 524,534.50 × 210,328.50
  4. Step 4: Simplify right side
    380,094.78x = 110,324,554,583.25
  5. Step 5: Solve for x
    x = 110,324,554,583.25/380,094.78
  6. Step 6: Final answer
    x = 290,255.38

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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.