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Finding the Fourth Proportional to 369,867, 510,420.15 and 200,104.77

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Solution

The fourth proportional to 369,867, 510,420.15 and 200,104.77 is: 276,146.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,867 : 510,420.15 = 200,104.77 : x
  2. Step 2: Convert to fraction form
    369,867/510,420.15 = 200,104.77/x
  3. Step 3: Cross multiply
    369,867x = 510,420.15 × 200,104.77
  4. Step 4: Simplify right side
    369,867x = 102,137,506,719.12
  5. Step 5: Solve for x
    x = 102,137,506,719.12/369,867
  6. Step 6: Final answer
    x = 276,146.58

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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.