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Finding the Fourth Proportional to 518,964, 716,170.40 and 280,500

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Solution

The fourth proportional to 518,964, 716,170.40 and 280,500 is: 387,090.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,964 : 716,170.40 = 280,500 : x
  2. Step 2: Convert to fraction form
    518,964/716,170.40 = 280,500/x
  3. Step 3: Cross multiply
    518,964x = 716,170.40 × 280,500
  4. Step 4: Simplify right side
    518,964x = 200,885,797,200
  5. Step 5: Solve for x
    x = 200,885,797,200/518,964
  6. Step 6: Final answer
    x = 387,090.04

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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.