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Finding the Fourth Proportional to 518,153.41, 715,040.94 and 288,709.78

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Solution

The fourth proportional to 518,153.41, 715,040.94 and 288,709.78 is: 398,413.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,153.41 : 715,040.94 = 288,709.78 : x
  2. Step 2: Convert to fraction form
    518,153.41/715,040.94 = 288,709.78/x
  3. Step 3: Cross multiply
    518,153.41x = 715,040.94 × 288,709.78
  4. Step 4: Simplify right side
    518,153.41x = 206,439,312,478.39
  5. Step 5: Solve for x
    x = 206,439,312,478.39/518,153.41
  6. Step 6: Final answer
    x = 398,413.50

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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.