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Finding the Fourth Proportional to 523,830, 722,851.38 and 308,920.80

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Solution

The fourth proportional to 523,830, 722,851.38 and 308,920.80 is: 426,290.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,830 : 722,851.38 = 308,920.80 : x
  2. Step 2: Convert to fraction form
    523,830/722,851.38 = 308,920.80/x
  3. Step 3: Cross multiply
    523,830x = 722,851.38 × 308,920.80
  4. Step 4: Simplify right side
    523,830x = 223,303,826,590.70
  5. Step 5: Solve for x
    x = 223,303,826,590.70/523,830
  6. Step 6: Final answer
    x = 426,290.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.