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Finding the Fourth Proportional to 525,364.03, 788,364.78 and 209,794.51

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Solution

The fourth proportional to 525,364.03, 788,364.78 and 209,794.51 is: 314,819.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,364.03 : 788,364.78 = 209,794.51 : x
  2. Step 2: Convert to fraction form
    525,364.03/788,364.78 = 209,794.51/x
  3. Step 3: Cross multiply
    525,364.03x = 788,364.78 × 209,794.51
  4. Step 4: Simplify right side
    525,364.03x = 165,394,602,721.36
  5. Step 5: Solve for x
    x = 165,394,602,721.36/525,364.03
  6. Step 6: Final answer
    x = 314,819.05

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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.