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Finding the Fourth Proportional to 525,684.48, 788,568.84 and 209,968.08

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Solution

The fourth proportional to 525,684.48, 788,568.84 and 209,968.08 is: 314,968.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,684.48 : 788,568.84 = 209,968.08 : x
  2. Step 2: Convert to fraction form
    525,684.48/788,568.84 = 209,968.08/x
  3. Step 3: Cross multiply
    525,684.48x = 788,568.84 × 209,968.08
  4. Step 4: Simplify right side
    525,684.48x = 165,574,285,282.63
  5. Step 5: Solve for x
    x = 165,574,285,282.63/525,684.48
  6. Step 6: Final answer
    x = 314,968.94

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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.