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Finding the Fourth Proportional to 360,564, 540,730.98 and 123,849.60

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Solution

The fourth proportional to 360,564, 540,730.98 and 123,849.60 is: 185,734.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,564 : 540,730.98 = 123,849.60 : x
  2. Step 2: Convert to fraction form
    360,564/540,730.98 = 123,849.60/x
  3. Step 3: Cross multiply
    360,564x = 540,730.98 × 123,849.60
  4. Step 4: Simplify right side
    360,564x = 66,969,315,580.61
  5. Step 5: Solve for x
    x = 66,969,315,580.61/360,564
  6. Step 6: Final answer
    x = 185,734.89

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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.