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Finding the Fourth Proportional to 772,109.76, 1,157,880 and 266,542.08

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Solution

The fourth proportional to 772,109.76, 1,157,880 and 266,542.08 is: 399,714.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,109.76 : 1,157,880 = 266,542.08 : x
  2. Step 2: Convert to fraction form
    772,109.76/1,157,880 = 266,542.08/x
  3. Step 3: Cross multiply
    772,109.76x = 1,157,880 × 266,542.08
  4. Step 4: Simplify right side
    772,109.76x = 308,623,743,590.40
  5. Step 5: Solve for x
    x = 308,623,743,590.40/772,109.76
  6. Step 6: Final answer
    x = 399,714.86

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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.