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Finding the Fourth Proportional to 813,685.32, 1,219,809 and 307,895.16

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Solution

The fourth proportional to 813,685.32, 1,219,809 and 307,895.16 is: 461,570.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,685.32 : 1,219,809 = 307,895.16 : x
  2. Step 2: Convert to fraction form
    813,685.32/1,219,809 = 307,895.16/x
  3. Step 3: Cross multiply
    813,685.32x = 1,219,809 × 307,895.16
  4. Step 4: Simplify right side
    813,685.32x = 375,573,287,224.44
  5. Step 5: Solve for x
    x = 375,573,287,224.44/813,685.32
  6. Step 6: Final answer
    x = 461,570.68

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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.