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Finding the Fourth Proportional to 525,098.40, 786,265.20 and 384,093.60

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Solution

The fourth proportional to 525,098.40, 786,265.20 and 384,093.60 is: 575,129.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,098.40 : 786,265.20 = 384,093.60 : x
  2. Step 2: Convert to fraction form
    525,098.40/786,265.20 = 384,093.60/x
  3. Step 3: Cross multiply
    525,098.40x = 786,265.20 × 384,093.60
  4. Step 4: Simplify right side
    525,098.40x = 301,999,431,222.72
  5. Step 5: Solve for x
    x = 301,999,431,222.72/525,098.40
  6. Step 6: Final answer
    x = 575,129.22

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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.