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Finding the Fourth Proportional to 525,387.82, 787,938.15 and 188,365.84

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Solution

The fourth proportional to 525,387.82, 787,938.15 and 188,365.84 is: 282,497.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,387.82 : 787,938.15 = 188,365.84 : x
  2. Step 2: Convert to fraction form
    525,387.82/787,938.15 = 188,365.84/x
  3. Step 3: Cross multiply
    525,387.82x = 787,938.15 × 188,365.84
  4. Step 4: Simplify right side
    525,387.82x = 148,420,631,492.80
  5. Step 5: Solve for x
    x = 148,420,631,492.80/525,387.82
  6. Step 6: Final answer
    x = 282,497.28

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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.