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Finding the Fourth Proportional to 570,413.84, 787,177.32 and 315,769.28

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Solution

The fourth proportional to 570,413.84, 787,177.32 and 315,769.28 is: 435,765.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,413.84 : 787,177.32 = 315,769.28 : x
  2. Step 2: Convert to fraction form
    570,413.84/787,177.32 = 315,769.28/x
  3. Step 3: Cross multiply
    570,413.84x = 787,177.32 × 315,769.28
  4. Step 4: Simplify right side
    570,413.84x = 248,566,415,568.73
  5. Step 5: Solve for x
    x = 248,566,415,568.73/570,413.84
  6. Step 6: Final answer
    x = 435,765.05

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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.