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Finding the Fourth Proportional to 380,113.72, 569,776.92 and 312,847.08

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Solution

The fourth proportional to 380,113.72, 569,776.92 and 312,847.08 is: 468,946.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,113.72 : 569,776.92 = 312,847.08 : x
  2. Step 2: Convert to fraction form
    380,113.72/569,776.92 = 312,847.08/x
  3. Step 3: Cross multiply
    380,113.72x = 569,776.92 × 312,847.08
  4. Step 4: Simplify right side
    380,113.72x = 178,253,045,673.39
  5. Step 5: Solve for x
    x = 178,253,045,673.39/380,113.72
  6. Step 6: Final answer
    x = 468,946.62

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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.