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Finding the Fourth Proportional to 719,348.96, 992,718.24 and 397,064

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Solution

The fourth proportional to 719,348.96, 992,718.24 and 397,064 is: 547,957.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,348.96 : 992,718.24 = 397,064 : x
  2. Step 2: Convert to fraction form
    719,348.96/992,718.24 = 397,064/x
  3. Step 3: Cross multiply
    719,348.96x = 992,718.24 × 397,064
  4. Step 4: Simplify right side
    719,348.96x = 394,172,675,247.36
  5. Step 5: Solve for x
    x = 394,172,675,247.36/719,348.96
  6. Step 6: Final answer
    x = 547,957.52

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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.