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Finding the Fourth Proportional to 512,955, 707,914.54 and 283,507.35

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Solution

The fourth proportional to 512,955, 707,914.54 and 283,507.35 is: 391,260.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,955 : 707,914.54 = 283,507.35 : x
  2. Step 2: Convert to fraction form
    512,955/707,914.54 = 283,507.35/x
  3. Step 3: Cross multiply
    512,955x = 707,914.54 × 283,507.35
  4. Step 4: Simplify right side
    512,955x = 200,698,975,261.87
  5. Step 5: Solve for x
    x = 200,698,975,261.87/512,955
  6. Step 6: Final answer
    x = 391,260.39

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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.