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Finding the Fourth Proportional to 289,038.80, 403,867 and 289,038.80

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Solution

The fourth proportional to 289,038.80, 403,867 and 289,038.80 is: 403,867

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,038.80 : 403,867 = 289,038.80 : x
  2. Step 2: Convert to fraction form
    289,038.80/403,867 = 289,038.80/x
  3. Step 3: Cross multiply
    289,038.80x = 403,867 × 289,038.80
  4. Step 4: Simplify right side
    289,038.80x = 116,733,233,039.60
  5. Step 5: Solve for x
    x = 116,733,233,039.60/289,038.80
  6. Step 6: Final answer
    x = 403,867

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.