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Finding the Fourth Proportional to 200,307.84, 276,424.90 and 109,669.68

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Solution

The fourth proportional to 200,307.84, 276,424.90 and 109,669.68 is: 151,344.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,307.84 : 276,424.90 = 109,669.68 : x
  2. Step 2: Convert to fraction form
    200,307.84/276,424.90 = 109,669.68/x
  3. Step 3: Cross multiply
    200,307.84x = 276,424.90 × 109,669.68
  4. Step 4: Simplify right side
    200,307.84x = 30,315,430,327.03
  5. Step 5: Solve for x
    x = 30,315,430,327.03/200,307.84
  6. Step 6: Final answer
    x = 151,344.20

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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.