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Finding the Fourth Proportional to 469,983.60, 705,364.20 and 217,652.40

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Solution

The fourth proportional to 469,983.60, 705,364.20 and 217,652.40 is: 326,658.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,983.60 : 705,364.20 = 217,652.40 : x
  2. Step 2: Convert to fraction form
    469,983.60/705,364.20 = 217,652.40/x
  3. Step 3: Cross multiply
    469,983.60x = 705,364.20 × 217,652.40
  4. Step 4: Simplify right side
    469,983.60x = 153,524,211,004.08
  5. Step 5: Solve for x
    x = 153,524,211,004.08/469,983.60
  6. Step 6: Final answer
    x = 326,658.66

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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.