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Finding the Fourth Proportional to 318,887.76, 478,353.50 and 105,655.26

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Solution

The fourth proportional to 318,887.76, 478,353.50 and 105,655.26 is: 158,490.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,887.76 : 478,353.50 = 105,655.26 : x
  2. Step 2: Convert to fraction form
    318,887.76/478,353.50 = 105,655.26/x
  3. Step 3: Cross multiply
    318,887.76x = 478,353.50 × 105,655.26
  4. Step 4: Simplify right side
    318,887.76x = 50,540,563,414.41
  5. Step 5: Solve for x
    x = 50,540,563,414.41/318,887.76
  6. Step 6: Final answer
    x = 158,490.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.