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Finding the Fourth Proportional to 369,975, 510,569.16 and 200,212.77

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Solution

The fourth proportional to 369,975, 510,569.16 and 200,212.77 is: 276,295.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,975 : 510,569.16 = 200,212.77 : x
  2. Step 2: Convert to fraction form
    369,975/510,569.16 = 200,212.77/x
  3. Step 3: Cross multiply
    369,975x = 510,569.16 × 200,212.77
  4. Step 4: Simplify right side
    369,975x = 102,222,465,800.17
  5. Step 5: Solve for x
    x = 102,222,465,800.17/369,975
  6. Step 6: Final answer
    x = 276,295.60

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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.