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Finding the Fourth Proportional to 782,064, 1,079,249.04 and 424,368

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Solution

The fourth proportional to 782,064, 1,079,249.04 and 424,368 is: 585,628.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,064 : 1,079,249.04 = 424,368 : x
  2. Step 2: Convert to fraction form
    782,064/1,079,249.04 = 424,368/x
  3. Step 3: Cross multiply
    782,064x = 1,079,249.04 × 424,368
  4. Step 4: Simplify right side
    782,064x = 457,998,756,606.72
  5. Step 5: Solve for x
    x = 457,998,756,606.72/782,064
  6. Step 6: Final answer
    x = 585,628.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.