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Finding the Fourth Proportional to 315,975.32, 474,082.68 and 189,703.74

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Solution

The fourth proportional to 315,975.32, 474,082.68 and 189,703.74 is: 284,627.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,975.32 : 474,082.68 = 189,703.74 : x
  2. Step 2: Convert to fraction form
    315,975.32/474,082.68 = 189,703.74/x
  3. Step 3: Cross multiply
    315,975.32x = 474,082.68 × 189,703.74
  4. Step 4: Simplify right side
    315,975.32x = 89,935,257,465.22
  5. Step 5: Solve for x
    x = 89,935,257,465.22/315,975.32
  6. Step 6: Final answer
    x = 284,627.48

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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.