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Finding the Fourth Proportional to 512,415.99, 707,080.37 and 297,514.08

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Solution

The fourth proportional to 512,415.99, 707,080.37 and 297,514.08 is: 410,538.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,415.99 : 707,080.37 = 297,514.08 : x
  2. Step 2: Convert to fraction form
    512,415.99/707,080.37 = 297,514.08/x
  3. Step 3: Cross multiply
    512,415.99x = 707,080.37 × 297,514.08
  4. Step 4: Simplify right side
    512,415.99x = 210,366,364,279.04
  5. Step 5: Solve for x
    x = 210,366,364,279.04/512,415.99
  6. Step 6: Final answer
    x = 410,538.25

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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.