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Finding the Fourth Proportional to 400,166.52, 552,225.78 and 218,881.98

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Solution

The fourth proportional to 400,166.52, 552,225.78 and 218,881.98 is: 302,054.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,166.52 : 552,225.78 = 218,881.98 : x
  2. Step 2: Convert to fraction form
    400,166.52/552,225.78 = 218,881.98/x
  3. Step 3: Cross multiply
    400,166.52x = 552,225.78 × 218,881.98
  4. Step 4: Simplify right side
    400,166.52x = 120,872,272,133.44
  5. Step 5: Solve for x
    x = 120,872,272,133.44/400,166.52
  6. Step 6: Final answer
    x = 302,054.93

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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.