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Finding the Fourth Proportional to 470,699.70, 705,612.15 and 328,544.70

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Solution

The fourth proportional to 470,699.70, 705,612.15 and 328,544.70 is: 492,511.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,699.70 : 705,612.15 = 328,544.70 : x
  2. Step 2: Convert to fraction form
    470,699.70/705,612.15 = 328,544.70/x
  3. Step 3: Cross multiply
    470,699.70x = 705,612.15 × 328,544.70
  4. Step 4: Simplify right side
    470,699.70x = 231,825,132,138.11
  5. Step 5: Solve for x
    x = 231,825,132,138.11/470,699.70
  6. Step 6: Final answer
    x = 492,511.75

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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.