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Finding the Fourth Proportional to 512,910, 707,802.76 and 286,557.20

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Solution

The fourth proportional to 512,910, 707,802.76 and 286,557.20 is: 395,441.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,910 : 707,802.76 = 286,557.20 : x
  2. Step 2: Convert to fraction form
    512,910/707,802.76 = 286,557.20/x
  3. Step 3: Cross multiply
    512,910x = 707,802.76 × 286,557.20
  4. Step 4: Simplify right side
    512,910x = 202,825,977,057.87
  5. Step 5: Solve for x
    x = 202,825,977,057.87/512,910
  6. Step 6: Final answer
    x = 395,441.65

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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.