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Finding the Fourth Proportional to 531,975, 798,112.50 and 216,658.20

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Solution

The fourth proportional to 531,975, 798,112.50 and 216,658.20 is: 325,048.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,975 : 798,112.50 = 216,658.20 : x
  2. Step 2: Convert to fraction form
    531,975/798,112.50 = 216,658.20/x
  3. Step 3: Cross multiply
    531,975x = 798,112.50 × 216,658.20
  4. Step 4: Simplify right side
    531,975x = 172,917,617,647.50
  5. Step 5: Solve for x
    x = 172,917,617,647.50/531,975
  6. Step 6: Final answer
    x = 325,048.39

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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.