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Finding the Fourth Proportional to 470,897.26, 650,086.50 and 378,005.65

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Solution

The fourth proportional to 470,897.26, 650,086.50 and 378,005.65 is: 521,847.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,897.26 : 650,086.50 = 378,005.65 : x
  2. Step 2: Convert to fraction form
    470,897.26/650,086.50 = 378,005.65/x
  3. Step 3: Cross multiply
    470,897.26x = 650,086.50 × 378,005.65
  4. Step 4: Simplify right side
    470,897.26x = 245,736,369,988.73
  5. Step 5: Solve for x
    x = 245,736,369,988.73/470,897.26
  6. Step 6: Final answer
    x = 521,847.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.