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Finding the Fourth Proportional to 284,462.56, 392,559.66 and 155,402.86

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Solution

The fourth proportional to 284,462.56, 392,559.66 and 155,402.86 is: 214,456.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,462.56 : 392,559.66 = 155,402.86 : x
  2. Step 2: Convert to fraction form
    284,462.56/392,559.66 = 155,402.86/x
  3. Step 3: Cross multiply
    284,462.56x = 392,559.66 × 155,402.86
  4. Step 4: Simplify right side
    284,462.56x = 61,004,893,884.63
  5. Step 5: Solve for x
    x = 61,004,893,884.63/284,462.56
  6. Step 6: Final answer
    x = 214,456.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.