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Finding the Fourth Proportional to 477,321.60, 715,999.68 and 161,808.96

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Solution

The fourth proportional to 477,321.60, 715,999.68 and 161,808.96 is: 242,719.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,321.60 : 715,999.68 = 161,808.96 : x
  2. Step 2: Convert to fraction form
    477,321.60/715,999.68 = 161,808.96/x
  3. Step 3: Cross multiply
    477,321.60x = 715,999.68 × 161,808.96
  4. Step 4: Simplify right side
    477,321.60x = 115,855,163,581.13
  5. Step 5: Solve for x
    x = 115,855,163,581.13/477,321.60
  6. Step 6: Final answer
    x = 242,719.30

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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.