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Finding the Fourth Proportional to 475,008.81, 712,542.38 and 208,894.65

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Solution

The fourth proportional to 475,008.81, 712,542.38 and 208,894.65 is: 313,354.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,008.81 : 712,542.38 = 208,894.65 : x
  2. Step 2: Convert to fraction form
    475,008.81/712,542.38 = 208,894.65/x
  3. Step 3: Cross multiply
    475,008.81x = 712,542.38 × 208,894.65
  4. Step 4: Simplify right side
    475,008.81x = 148,846,290,035.79
  5. Step 5: Solve for x
    x = 148,846,290,035.79/475,008.81
  6. Step 6: Final answer
    x = 313,354.80

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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.