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Finding the Fourth Proportional to 380,420.31, 524,889.88 and 225,293.28

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Solution

The fourth proportional to 380,420.31, 524,889.88 and 225,293.28 is: 310,851.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,420.31 : 524,889.88 = 225,293.28 : x
  2. Step 2: Convert to fraction form
    380,420.31/524,889.88 = 225,293.28/x
  3. Step 3: Cross multiply
    380,420.31x = 524,889.88 × 225,293.28
  4. Step 4: Simplify right side
    380,420.31x = 118,254,162,704.01
  5. Step 5: Solve for x
    x = 118,254,162,704.01/380,420.31
  6. Step 6: Final answer
    x = 310,851.34

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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.