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Finding the Fourth Proportional to 537,866.40, 742,255.60 and 299,402.40

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Solution

The fourth proportional to 537,866.40, 742,255.60 and 299,402.40 is: 413,175.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,866.40 : 742,255.60 = 299,402.40 : x
  2. Step 2: Convert to fraction form
    537,866.40/742,255.60 = 299,402.40/x
  3. Step 3: Cross multiply
    537,866.40x = 742,255.60 × 299,402.40
  4. Step 4: Simplify right side
    537,866.40x = 222,233,108,053.44
  5. Step 5: Solve for x
    x = 222,233,108,053.44/537,866.40
  6. Step 6: Final answer
    x = 413,175.29

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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.