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Finding the Fourth Proportional to 289,293.66, 434,220.84 and 139,639.14

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Solution

The fourth proportional to 289,293.66, 434,220.84 and 139,639.14 is: 209,594.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,293.66 : 434,220.84 = 139,639.14 : x
  2. Step 2: Convert to fraction form
    289,293.66/434,220.84 = 139,639.14/x
  3. Step 3: Cross multiply
    289,293.66x = 434,220.84 × 139,639.14
  4. Step 4: Simplify right side
    289,293.66x = 60,634,224,667.68
  5. Step 5: Solve for x
    x = 60,634,224,667.68/289,293.66
  6. Step 6: Final answer
    x = 209,594.03

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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.