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Finding the Fourth Proportional to 512,993.64, 707,929.74 and 286,639.32

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Solution

The fourth proportional to 512,993.64, 707,929.74 and 286,639.32 is: 395,561.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,993.64 : 707,929.74 = 286,639.32 : x
  2. Step 2: Convert to fraction form
    512,993.64/707,929.74 = 286,639.32/x
  3. Step 3: Cross multiply
    512,993.64x = 707,929.74 × 286,639.32
  4. Step 4: Simplify right side
    512,993.64x = 202,920,499,281.38
  5. Step 5: Solve for x
    x = 202,920,499,281.38/512,993.64
  6. Step 6: Final answer
    x = 395,561.43

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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.