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Finding the Fourth Proportional to 488,348, 735,849.62 and 401,546

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Solution

The fourth proportional to 488,348, 735,849.62 and 401,546 is: 605,055.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,348 : 735,849.62 = 401,546 : x
  2. Step 2: Convert to fraction form
    488,348/735,849.62 = 401,546/x
  3. Step 3: Cross multiply
    488,348x = 735,849.62 × 401,546
  4. Step 4: Simplify right side
    488,348x = 295,477,471,512.52
  5. Step 5: Solve for x
    x = 295,477,471,512.52/488,348
  6. Step 6: Final answer
    x = 605,055.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.