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Finding the Fourth Proportional to 399,969.76, 552,097.32 and 230,271.52

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Solution

The fourth proportional to 399,969.76, 552,097.32 and 230,271.52 is: 317,854.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,969.76 : 552,097.32 = 230,271.52 : x
  2. Step 2: Convert to fraction form
    399,969.76/552,097.32 = 230,271.52/x
  3. Step 3: Cross multiply
    399,969.76x = 552,097.32 × 230,271.52
  4. Step 4: Simplify right side
    399,969.76x = 127,132,289,064.33
  5. Step 5: Solve for x
    x = 127,132,289,064.33/399,969.76
  6. Step 6: Final answer
    x = 317,854.75

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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.