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Finding the Fourth Proportional to 351,854.73, 528,513.21 and 284,462.93

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Solution

The fourth proportional to 351,854.73, 528,513.21 and 284,462.93 is: 427,285.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,854.73 : 528,513.21 = 284,462.93 : x
  2. Step 2: Convert to fraction form
    351,854.73/528,513.21 = 284,462.93/x
  3. Step 3: Cross multiply
    351,854.73x = 528,513.21 × 284,462.93
  4. Step 4: Simplify right side
    351,854.73x = 150,342,413,617.74
  5. Step 5: Solve for x
    x = 150,342,413,617.74/351,854.73
  6. Step 6: Final answer
    x = 427,285.47

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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.