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Finding the Fourth Proportional to 289,241.53, 434,142.17 and 139,587.17

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Solution

The fourth proportional to 289,241.53, 434,142.17 and 139,587.17 is: 209,515.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,241.53 : 434,142.17 = 139,587.17 : x
  2. Step 2: Convert to fraction form
    289,241.53/434,142.17 = 139,587.17/x
  3. Step 3: Cross multiply
    289,241.53x = 434,142.17 × 139,587.17
  4. Step 4: Simplify right side
    289,241.53x = 60,600,678,009.54
  5. Step 5: Solve for x
    x = 60,600,678,009.54/289,241.53
  6. Step 6: Final answer
    x = 209,515.82

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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.