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Finding the Fourth Proportional to 518,084.85, 714,993.71 and 288,657.21

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Solution

The fourth proportional to 518,084.85, 714,993.71 and 288,657.21 is: 398,367.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,084.85 : 714,993.71 = 288,657.21 : x
  2. Step 2: Convert to fraction form
    518,084.85/714,993.71 = 288,657.21/x
  3. Step 3: Cross multiply
    518,084.85x = 714,993.71 × 288,657.21
  4. Step 4: Simplify right side
    518,084.85x = 206,388,088,052.86
  5. Step 5: Solve for x
    x = 206,388,088,052.86/518,084.85
  6. Step 6: Final answer
    x = 398,367.35

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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.