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Finding the Fourth Proportional to 470,046.60, 705,458.70 and 217,715.40

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Solution

The fourth proportional to 470,046.60, 705,458.70 and 217,715.40 is: 326,753.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,046.60 : 705,458.70 = 217,715.40 : x
  2. Step 2: Convert to fraction form
    470,046.60/705,458.70 = 217,715.40/x
  3. Step 3: Cross multiply
    470,046.60x = 705,458.70 × 217,715.40
  4. Step 4: Simplify right side
    470,046.60x = 153,589,223,053.98
  5. Step 5: Solve for x
    x = 153,589,223,053.98/470,046.60
  6. Step 6: Final answer
    x = 326,753.18

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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.