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Finding the Fourth Proportional to 470,830.40, 705,208.80 and 329,825.60

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Solution

The fourth proportional to 470,830.40, 705,208.80 and 329,825.60 is: 494,012.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,830.40 : 705,208.80 = 329,825.60 : x
  2. Step 2: Convert to fraction form
    470,830.40/705,208.80 = 329,825.60/x
  3. Step 3: Cross multiply
    470,830.40x = 705,208.80 × 329,825.60
  4. Step 4: Simplify right side
    470,830.40x = 232,595,915,585.28
  5. Step 5: Solve for x
    x = 232,595,915,585.28/470,830.40
  6. Step 6: Final answer
    x = 494,012.10

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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.