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Finding the Fourth Proportional to 518,478, 715,499.64 and 280,014

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Solution

The fourth proportional to 518,478, 715,499.64 and 280,014 is: 386,419.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,478 : 715,499.64 = 280,014 : x
  2. Step 2: Convert to fraction form
    518,478/715,499.64 = 280,014/x
  3. Step 3: Cross multiply
    518,478x = 715,499.64 × 280,014
  4. Step 4: Simplify right side
    518,478x = 200,349,916,194.96
  5. Step 5: Solve for x
    x = 200,349,916,194.96/518,478
  6. Step 6: Final answer
    x = 386,419.32

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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.