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Finding the Fourth Proportional to 401,478.66, 552,649.77 and 347,005.80

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Solution

The fourth proportional to 401,478.66, 552,649.77 and 347,005.80 is: 477,665.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,478.66 : 552,649.77 = 347,005.80 : x
  2. Step 2: Convert to fraction form
    401,478.66/552,649.77 = 347,005.80/x
  3. Step 3: Cross multiply
    401,478.66x = 552,649.77 × 347,005.80
  4. Step 4: Simplify right side
    401,478.66x = 191,772,675,558.67
  5. Step 5: Solve for x
    x = 191,772,675,558.67/401,478.66
  6. Step 6: Final answer
    x = 477,665.93

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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.