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Finding the Fourth Proportional to 512,980.64, 707,911.80 and 286,626.32

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Solution

The fourth proportional to 512,980.64, 707,911.80 and 286,626.32 is: 395,543.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,980.64 : 707,911.80 = 286,626.32 : x
  2. Step 2: Convert to fraction form
    512,980.64/707,911.80 = 286,626.32/x
  3. Step 3: Cross multiply
    512,980.64x = 707,911.80 × 286,626.32
  4. Step 4: Simplify right side
    512,980.64x = 202,906,154,118.58
  5. Step 5: Solve for x
    x = 202,906,154,118.58/512,980.64
  6. Step 6: Final answer
    x = 395,543.49

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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.