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Finding the Fourth Proportional to 786,396, 1,179,594.08 and 195,420

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Solution

The fourth proportional to 786,396, 1,179,594.08 and 195,420 is: 293,130.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,396 : 1,179,594.08 = 195,420 : x
  2. Step 2: Convert to fraction form
    786,396/1,179,594.08 = 195,420/x
  3. Step 3: Cross multiply
    786,396x = 1,179,594.08 × 195,420
  4. Step 4: Simplify right side
    786,396x = 230,516,275,113.60
  5. Step 5: Solve for x
    x = 230,516,275,113.60/786,396
  6. Step 6: Final answer
    x = 293,130.02

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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.