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Finding the Fourth Proportional to 315,082.76, 472,698.10 and 193,638.64

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Solution

The fourth proportional to 315,082.76, 472,698.10 and 193,638.64 is: 290,503.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,082.76 : 472,698.10 = 193,638.64 : x
  2. Step 2: Convert to fraction form
    315,082.76/472,698.10 = 193,638.64/x
  3. Step 3: Cross multiply
    315,082.76x = 472,698.10 × 193,638.64
  4. Step 4: Simplify right side
    315,082.76x = 91,532,617,214.58
  5. Step 5: Solve for x
    x = 91,532,617,214.58/315,082.76
  6. Step 6: Final answer
    x = 290,503.41

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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.