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Finding the Fourth Proportional to 770,091, 1,155,603.12 and 326,859

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Solution

The fourth proportional to 770,091, 1,155,603.12 and 326,859 is: 490,486.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,091 : 1,155,603.12 = 326,859 : x
  2. Step 2: Convert to fraction form
    770,091/1,155,603.12 = 326,859/x
  3. Step 3: Cross multiply
    770,091x = 1,155,603.12 × 326,859
  4. Step 4: Simplify right side
    770,091x = 377,719,280,200.08
  5. Step 5: Solve for x
    x = 377,719,280,200.08/770,091
  6. Step 6: Final answer
    x = 490,486.55

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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.