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Finding the Fourth Proportional to 518,035.60, 714,878.36 and 288,592.57

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Solution

The fourth proportional to 518,035.60, 714,878.36 and 288,592.57 is: 398,251.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,035.60 : 714,878.36 = 288,592.57 : x
  2. Step 2: Convert to fraction form
    518,035.60/714,878.36 = 288,592.57/x
  3. Step 3: Cross multiply
    518,035.60x = 714,878.36 × 288,592.57
  4. Step 4: Simplify right side
    518,035.60x = 206,308,583,682.64
  5. Step 5: Solve for x
    x = 206,308,583,682.64/518,035.60
  6. Step 6: Final answer
    x = 398,251.75

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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.