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Finding the Fourth Proportional to 516,466.55, 712,607.06 and 312,512.33

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Solution

The fourth proportional to 516,466.55, 712,607.06 and 312,512.33 is: 431,196.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,466.55 : 712,607.06 = 312,512.33 : x
  2. Step 2: Convert to fraction form
    516,466.55/712,607.06 = 312,512.33/x
  3. Step 3: Cross multiply
    516,466.55x = 712,607.06 × 312,512.33
  4. Step 4: Simplify right side
    516,466.55x = 222,698,491,132.49
  5. Step 5: Solve for x
    x = 222,698,491,132.49/516,466.55
  6. Step 6: Final answer
    x = 431,196.35

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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.