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Finding the Fourth Proportional to 312,271.24, 468,419.82 and 90,655.24

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Solution

The fourth proportional to 312,271.24, 468,419.82 and 90,655.24 is: 135,986.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,271.24 : 468,419.82 = 90,655.24 : x
  2. Step 2: Convert to fraction form
    312,271.24/468,419.82 = 90,655.24/x
  3. Step 3: Cross multiply
    312,271.24x = 468,419.82 × 90,655.24
  4. Step 4: Simplify right side
    312,271.24x = 42,464,711,202.86
  5. Step 5: Solve for x
    x = 42,464,711,202.86/312,271.24
  6. Step 6: Final answer
    x = 135,986.62

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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.