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Finding the Fourth Proportional to 416,304.86, 574,514.64 and 255,128.78

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Solution

The fourth proportional to 416,304.86, 574,514.64 and 255,128.78 is: 352,086.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,304.86 : 574,514.64 = 255,128.78 : x
  2. Step 2: Convert to fraction form
    416,304.86/574,514.64 = 255,128.78/x
  3. Step 3: Cross multiply
    416,304.86x = 574,514.64 × 255,128.78
  4. Step 4: Simplify right side
    416,304.86x = 146,575,216,322.77
  5. Step 5: Solve for x
    x = 146,575,216,322.77/416,304.86
  6. Step 6: Final answer
    x = 352,086.25

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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.