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Finding the Fourth Proportional to 454,413.16, 626,597.94 and 309,313

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Solution

The fourth proportional to 454,413.16, 626,597.94 and 309,313 is: 426,516.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,413.16 : 626,597.94 = 309,313 : x
  2. Step 2: Convert to fraction form
    454,413.16/626,597.94 = 309,313/x
  3. Step 3: Cross multiply
    454,413.16x = 626,597.94 × 309,313
  4. Step 4: Simplify right side
    454,413.16x = 193,814,888,615.22
  5. Step 5: Solve for x
    x = 193,814,888,615.22/454,413.16
  6. Step 6: Final answer
    x = 426,516.89

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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.