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Finding the Fourth Proportional to 807,206, 1,210,810.50 and 757,881.62

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Solution

The fourth proportional to 807,206, 1,210,810.50 and 757,881.62 is: 1,136,823.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,206 : 1,210,810.50 = 757,881.62 : x
  2. Step 2: Convert to fraction form
    807,206/1,210,810.50 = 757,881.62/x
  3. Step 3: Cross multiply
    807,206x = 1,210,810.50 × 757,881.62
  4. Step 4: Simplify right side
    807,206x = 917,651,023,253.01
  5. Step 5: Solve for x
    x = 917,651,023,253.01/807,206
  6. Step 6: Final answer
    x = 1,136,823.84

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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.