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Finding the Fourth Proportional to 320,356, 442,123.86 and 184,395.64

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Solution

The fourth proportional to 320,356, 442,123.86 and 184,395.64 is: 254,484.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,356 : 442,123.86 = 184,395.64 : x
  2. Step 2: Convert to fraction form
    320,356/442,123.86 = 184,395.64/x
  3. Step 3: Cross multiply
    320,356x = 442,123.86 × 184,395.64
  4. Step 4: Simplify right side
    320,356x = 81,525,712,123.97
  5. Step 5: Solve for x
    x = 81,525,712,123.97/320,356
  6. Step 6: Final answer
    x = 254,484.74

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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.