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Finding the Fourth Proportional to 509,160.69, 763,448.36 and 209,847.87

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Solution

The fourth proportional to 509,160.69, 763,448.36 and 209,847.87 is: 314,651.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,160.69 : 763,448.36 = 209,847.87 : x
  2. Step 2: Convert to fraction form
    509,160.69/763,448.36 = 209,847.87/x
  3. Step 3: Cross multiply
    509,160.69x = 763,448.36 × 209,847.87
  4. Step 4: Simplify right side
    509,160.69x = 160,208,011,151.75
  5. Step 5: Solve for x
    x = 160,208,011,151.75/509,160.69
  6. Step 6: Final answer
    x = 314,651.18

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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.