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Finding the Fourth Proportional to 518,085.35, 714,994.40 and 288,657.71

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Solution

The fourth proportional to 518,085.35, 714,994.40 and 288,657.71 is: 398,368.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,085.35 : 714,994.40 = 288,657.71 : x
  2. Step 2: Convert to fraction form
    518,085.35/714,994.40 = 288,657.71/x
  3. Step 3: Cross multiply
    518,085.35x = 714,994.40 × 288,657.71
  4. Step 4: Simplify right side
    518,085.35x = 206,388,644,723.54
  5. Step 5: Solve for x
    x = 206,388,644,723.54/518,085.35
  6. Step 6: Final answer
    x = 398,368.04

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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.