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Finding the Fourth Proportional to 360,208.84, 540,313.26 and 138,541

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Solution

The fourth proportional to 360,208.84, 540,313.26 and 138,541 is: 207,811.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,208.84 : 540,313.26 = 138,541 : x
  2. Step 2: Convert to fraction form
    360,208.84/540,313.26 = 138,541/x
  3. Step 3: Cross multiply
    360,208.84x = 540,313.26 × 138,541
  4. Step 4: Simplify right side
    360,208.84x = 74,855,539,353.66
  5. Step 5: Solve for x
    x = 74,855,539,353.66/360,208.84
  6. Step 6: Final answer
    x = 207,811.50

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1.5x scale

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.