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Finding the Fourth Proportional to 525,820.09, 788,414.23 and 205,590.45

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Solution

The fourth proportional to 525,820.09, 788,414.23 and 205,590.45 is: 308,262.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,820.09 : 788,414.23 = 205,590.45 : x
  2. Step 2: Convert to fraction form
    525,820.09/788,414.23 = 205,590.45/x
  3. Step 3: Cross multiply
    525,820.09x = 788,414.23 × 205,590.45
  4. Step 4: Simplify right side
    525,820.09x = 162,090,436,332.10
  5. Step 5: Solve for x
    x = 162,090,436,332.10/525,820.09
  6. Step 6: Final answer
    x = 308,262.16

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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.