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Finding the Fourth Proportional to 538,556.40, 807,834.60 and 257,929.20

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Solution

The fourth proportional to 538,556.40, 807,834.60 and 257,929.20 is: 386,893.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,556.40 : 807,834.60 = 257,929.20 : x
  2. Step 2: Convert to fraction form
    538,556.40/807,834.60 = 257,929.20/x
  3. Step 3: Cross multiply
    538,556.40x = 807,834.60 × 257,929.20
  4. Step 4: Simplify right side
    538,556.40x = 208,364,132,110.32
  5. Step 5: Solve for x
    x = 208,364,132,110.32/538,556.40
  6. Step 6: Final answer
    x = 386,893.80

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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.