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Finding the Fourth Proportional to 477,219.20, 715,785.60 and 161,686.40

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Solution

The fourth proportional to 477,219.20, 715,785.60 and 161,686.40 is: 242,514.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,219.20 : 715,785.60 = 161,686.40 : x
  2. Step 2: Convert to fraction form
    477,219.20/715,785.60 = 161,686.40/x
  3. Step 3: Cross multiply
    477,219.20x = 715,785.60 × 161,686.40
  4. Step 4: Simplify right side
    477,219.20x = 115,732,796,835.84
  5. Step 5: Solve for x
    x = 115,732,796,835.84/477,219.20
  6. Step 6: Final answer
    x = 242,514.96

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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.