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Finding the Fourth Proportional to 470,231.80, 705,347.70 and 328,514.20

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Solution

The fourth proportional to 470,231.80, 705,347.70 and 328,514.20 is: 492,771.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,231.80 : 705,347.70 = 328,514.20 : x
  2. Step 2: Convert to fraction form
    470,231.80/705,347.70 = 328,514.20/x
  3. Step 3: Cross multiply
    470,231.80x = 705,347.70 × 328,514.20
  4. Step 4: Simplify right side
    470,231.80x = 231,716,735,387.34
  5. Step 5: Solve for x
    x = 231,716,735,387.34/470,231.80
  6. Step 6: Final answer
    x = 492,771.30

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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.