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Finding the Fourth Proportional to 510,314.10, 765,143.10 and 210,913.80

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Solution

The fourth proportional to 510,314.10, 765,143.10 and 210,913.80 is: 316,235.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,314.10 : 765,143.10 = 210,913.80 : x
  2. Step 2: Convert to fraction form
    510,314.10/765,143.10 = 210,913.80/x
  3. Step 3: Cross multiply
    510,314.10x = 765,143.10 × 210,913.80
  4. Step 4: Simplify right side
    510,314.10x = 161,379,238,764.78
  5. Step 5: Solve for x
    x = 161,379,238,764.78/510,314.10
  6. Step 6: Final answer
    x = 316,235.12

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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.