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Finding the Fourth Proportional to 551,071.30, 826,615.71 and 209,519.93

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Solution

The fourth proportional to 551,071.30, 826,615.71 and 209,519.93 is: 314,283.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,071.30 : 826,615.71 = 209,519.93 : x
  2. Step 2: Convert to fraction form
    551,071.30/826,615.71 = 209,519.93/x
  3. Step 3: Cross multiply
    551,071.30x = 826,615.71 × 209,519.93
  4. Step 4: Simplify right side
    551,071.30x = 173,192,465,696.10
  5. Step 5: Solve for x
    x = 173,192,465,696.10/551,071.30
  6. Step 6: Final answer
    x = 314,283.23

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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.