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Finding the Fourth Proportional to 565,514.06, 780,389.64 and 310,863.42

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Solution

The fourth proportional to 565,514.06, 780,389.64 and 310,863.42 is: 428,980.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,514.06 : 780,389.64 = 310,863.42 : x
  2. Step 2: Convert to fraction form
    565,514.06/780,389.64 = 310,863.42/x
  3. Step 3: Cross multiply
    565,514.06x = 780,389.64 × 310,863.42
  4. Step 4: Simplify right side
    565,514.06x = 242,594,592,422.97
  5. Step 5: Solve for x
    x = 242,594,592,422.97/565,514.06
  6. Step 6: Final answer
    x = 428,980.66

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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.