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Finding the Fourth Proportional to 423,514.07, 584,282.74 and 242,128.56

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Solution

The fourth proportional to 423,514.07, 584,282.74 and 242,128.56 is: 334,042.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,514.07 : 584,282.74 = 242,128.56 : x
  2. Step 2: Convert to fraction form
    423,514.07/584,282.74 = 242,128.56/x
  3. Step 3: Cross multiply
    423,514.07x = 584,282.74 × 242,128.56
  4. Step 4: Simplify right side
    423,514.07x = 141,471,538,469.05
  5. Step 5: Solve for x
    x = 141,471,538,469.05/423,514.07
  6. Step 6: Final answer
    x = 334,042.12

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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.