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Finding the Fourth Proportional to 315,419.81, 435,270.96 and 290,028.74

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Solution

The fourth proportional to 315,419.81, 435,270.96 and 290,028.74 is: 400,231.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,419.81 : 435,270.96 = 290,028.74 : x
  2. Step 2: Convert to fraction form
    315,419.81/435,270.96 = 290,028.74/x
  3. Step 3: Cross multiply
    315,419.81x = 435,270.96 × 290,028.74
  4. Step 4: Simplify right side
    315,419.81x = 126,241,085,911.04
  5. Step 5: Solve for x
    x = 126,241,085,911.04/315,419.81
  6. Step 6: Final answer
    x = 400,231.96

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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.