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Finding the Fourth Proportional to 428,925.78, 643,142.43 and 162,516.54

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Solution

The fourth proportional to 428,925.78, 643,142.43 and 162,516.54 is: 243,681.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,925.78 : 643,142.43 = 162,516.54 : x
  2. Step 2: Convert to fraction form
    428,925.78/643,142.43 = 162,516.54/x
  3. Step 3: Cross multiply
    428,925.78x = 643,142.43 × 162,516.54
  4. Step 4: Simplify right side
    428,925.78x = 104,521,282,450.79
  5. Step 5: Solve for x
    x = 104,521,282,450.79/428,925.78
  6. Step 6: Final answer
    x = 243,681.51

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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.