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Finding the Fourth Proportional to 470,630.40, 704,908.80 and 329,625.60

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Solution

The fourth proportional to 470,630.40, 704,908.80 and 329,625.60 is: 493,712.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,630.40 : 704,908.80 = 329,625.60 : x
  2. Step 2: Convert to fraction form
    470,630.40/704,908.80 = 329,625.60/x
  3. Step 3: Cross multiply
    470,630.40x = 704,908.80 × 329,625.60
  4. Step 4: Simplify right side
    470,630.40x = 232,355,986,145.28
  5. Step 5: Solve for x
    x = 232,355,986,145.28/470,630.40
  6. Step 6: Final answer
    x = 493,712.23

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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.