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Finding the Fourth Proportional to 403,508.54, 556,908.36 and 307,834.58

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Solution

The fourth proportional to 403,508.54, 556,908.36 and 307,834.58 is: 424,862.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,508.54 : 556,908.36 = 307,834.58 : x
  2. Step 2: Convert to fraction form
    403,508.54/556,908.36 = 307,834.58/x
  3. Step 3: Cross multiply
    403,508.54x = 556,908.36 × 307,834.58
  4. Step 4: Simplify right side
    403,508.54x = 171,435,651,099.09
  5. Step 5: Solve for x
    x = 171,435,651,099.09/403,508.54
  6. Step 6: Final answer
    x = 424,862.51

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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.