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Finding the Fourth Proportional to 284,604.83, 427,045.64 and 134,666.51

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Solution

The fourth proportional to 284,604.83, 427,045.64 and 134,666.51 is: 202,065.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,604.83 : 427,045.64 = 134,666.51 : x
  2. Step 2: Convert to fraction form
    284,604.83/427,045.64 = 134,666.51/x
  3. Step 3: Cross multiply
    284,604.83x = 427,045.64 × 134,666.51
  4. Step 4: Simplify right side
    284,604.83x = 57,508,743,140.96
  5. Step 5: Solve for x
    x = 57,508,743,140.96/284,604.83
  6. Step 6: Final answer
    x = 202,065.24

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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.