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Finding the Fourth Proportional to 525,634.07, 788,516.79 and 205,744.66

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Solution

The fourth proportional to 525,634.07, 788,516.79 and 205,744.66 is: 308,642.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,634.07 : 788,516.79 = 205,744.66 : x
  2. Step 2: Convert to fraction form
    525,634.07/788,516.79 = 205,744.66/x
  3. Step 3: Cross multiply
    525,634.07x = 788,516.79 × 205,744.66
  4. Step 4: Simplify right side
    525,634.07x = 162,233,117,277.32
  5. Step 5: Solve for x
    x = 162,233,117,277.32/525,634.07
  6. Step 6: Final answer
    x = 308,642.70

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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.