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Finding the Fourth Proportional to 763,698, 1,145,259 and 613,569.36

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Solution

The fourth proportional to 763,698, 1,145,259 and 613,569.36 is: 920,122.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,698 : 1,145,259 = 613,569.36 : x
  2. Step 2: Convert to fraction form
    763,698/1,145,259 = 613,569.36/x
  3. Step 3: Cross multiply
    763,698x = 1,145,259 × 613,569.36
  4. Step 4: Simplify right side
    763,698x = 702,695,831,664.24
  5. Step 5: Solve for x
    x = 702,695,831,664.24/763,698
  6. Step 6: Final answer
    x = 920,122.66

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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.