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Finding the Fourth Proportional to 470,932.80, 704,786.40 and 284,078.40

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Solution

The fourth proportional to 470,932.80, 704,786.40 and 284,078.40 is: 425,144.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,932.80 : 704,786.40 = 284,078.40 : x
  2. Step 2: Convert to fraction form
    470,932.80/704,786.40 = 284,078.40/x
  3. Step 3: Cross multiply
    470,932.80x = 704,786.40 × 284,078.40
  4. Step 4: Simplify right side
    470,932.80x = 200,214,592,853.76
  5. Step 5: Solve for x
    x = 200,214,592,853.76/470,932.80
  6. Step 6: Final answer
    x = 425,144.72

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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.