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Finding the Fourth Proportional to 278,747.86, 384,673.08 and 164,030.98

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Solution

The fourth proportional to 278,747.86, 384,673.08 and 164,030.98 is: 226,363.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,747.86 : 384,673.08 = 164,030.98 : x
  2. Step 2: Convert to fraction form
    278,747.86/384,673.08 = 164,030.98/x
  3. Step 3: Cross multiply
    278,747.86x = 384,673.08 × 164,030.98
  4. Step 4: Simplify right side
    278,747.86x = 63,098,302,292.02
  5. Step 5: Solve for x
    x = 63,098,302,292.02/278,747.86
  6. Step 6: Final answer
    x = 226,363.36

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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.