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Finding the Fourth Proportional to 828,415, 1,240,629.56 and 472,349.52

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Solution

The fourth proportional to 828,415, 1,240,629.56 and 472,349.52 is: 707,387.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,415 : 1,240,629.56 = 472,349.52 : x
  2. Step 2: Convert to fraction form
    828,415/1,240,629.56 = 472,349.52/x
  3. Step 3: Cross multiply
    828,415x = 1,240,629.56 × 472,349.52
  4. Step 4: Simplify right side
    828,415x = 586,010,777,163.81
  5. Step 5: Solve for x
    x = 586,010,777,163.81/828,415
  6. Step 6: Final answer
    x = 707,387.94

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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.