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Finding the Fourth Proportional to 386,539.74, 533,267.34 and 259,256.34

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Solution

The fourth proportional to 386,539.74, 533,267.34 and 259,256.34 is: 357,668.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,539.74 : 533,267.34 = 259,256.34 : x
  2. Step 2: Convert to fraction form
    386,539.74/533,267.34 = 259,256.34/x
  3. Step 3: Cross multiply
    386,539.74x = 533,267.34 × 259,256.34
  4. Step 4: Simplify right side
    386,539.74x = 138,252,938,809.94
  5. Step 5: Solve for x
    x = 138,252,938,809.94/386,539.74
  6. Step 6: Final answer
    x = 357,668.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.