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Finding the Fourth Proportional to 525,649.10, 725,404.82 and 310,826.16

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Solution

The fourth proportional to 525,649.10, 725,404.82 and 310,826.16 is: 428,945.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,649.10 : 725,404.82 = 310,826.16 : x
  2. Step 2: Convert to fraction form
    525,649.10/725,404.82 = 310,826.16/x
  3. Step 3: Cross multiply
    525,649.10x = 725,404.82 × 310,826.16
  4. Step 4: Simplify right side
    525,649.10x = 225,474,793,091.96
  5. Step 5: Solve for x
    x = 225,474,793,091.96/525,649.10
  6. Step 6: Final answer
    x = 428,945.46

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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.