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Finding the Fourth Proportional to 312,857.42, 468,749.76 and 210,082.10

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Solution

The fourth proportional to 312,857.42, 468,749.76 and 210,082.10 is: 314,762.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,857.42 : 468,749.76 = 210,082.10 : x
  2. Step 2: Convert to fraction form
    312,857.42/468,749.76 = 210,082.10/x
  3. Step 3: Cross multiply
    312,857.42x = 468,749.76 × 210,082.10
  4. Step 4: Simplify right side
    312,857.42x = 98,475,931,611.55
  5. Step 5: Solve for x
    x = 98,475,931,611.55/312,857.42
  6. Step 6: Final answer
    x = 314,762.98

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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.