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Finding the Fourth Proportional to 615,225.10, 923,821.80 and 465,634.30

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Solution

The fourth proportional to 615,225.10, 923,821.80 and 465,634.30 is: 699,196.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,225.10 : 923,821.80 = 465,634.30 : x
  2. Step 2: Convert to fraction form
    615,225.10/923,821.80 = 465,634.30/x
  3. Step 3: Cross multiply
    615,225.10x = 923,821.80 × 465,634.30
  4. Step 4: Simplify right side
    615,225.10x = 430,163,117,167.74
  5. Step 5: Solve for x
    x = 430,163,117,167.74/615,225.10
  6. Step 6: Final answer
    x = 699,196.31

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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.