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Finding the Fourth Proportional to 510,405.36, 765,409.32 and 210,934.32

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Solution

The fourth proportional to 510,405.36, 765,409.32 and 210,934.32 is: 316,319.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,405.36 : 765,409.32 = 210,934.32 : x
  2. Step 2: Convert to fraction form
    510,405.36/765,409.32 = 210,934.32/x
  3. Step 3: Cross multiply
    510,405.36x = 765,409.32 × 210,934.32
  4. Step 4: Simplify right side
    510,405.36x = 161,451,094,435.86
  5. Step 5: Solve for x
    x = 161,451,094,435.86/510,405.36
  6. Step 6: Final answer
    x = 316,319.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.