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Finding the Fourth Proportional to 298,553.86, 411,985.65 and 164,417.86

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Solution

The fourth proportional to 298,553.86, 411,985.65 and 164,417.86 is: 226,886.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,553.86 : 411,985.65 = 164,417.86 : x
  2. Step 2: Convert to fraction form
    298,553.86/411,985.65 = 164,417.86/x
  3. Step 3: Cross multiply
    298,553.86x = 411,985.65 × 164,417.86
  4. Step 4: Simplify right side
    298,553.86x = 67,737,798,923.71
  5. Step 5: Solve for x
    x = 67,737,798,923.71/298,553.86
  6. Step 6: Final answer
    x = 226,886.36

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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.