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Finding the Fourth Proportional to 392,003.04, 540,706.14 and 311,302.56

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Solution

The fourth proportional to 392,003.04, 540,706.14 and 311,302.56 is: 429,392.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,003.04 : 540,706.14 = 311,302.56 : x
  2. Step 2: Convert to fraction form
    392,003.04/540,706.14 = 311,302.56/x
  3. Step 3: Cross multiply
    392,003.04x = 540,706.14 × 311,302.56
  4. Step 4: Simplify right side
    392,003.04x = 168,323,205,589.72
  5. Step 5: Solve for x
    x = 168,323,205,589.72/392,003.04
  6. Step 6: Final answer
    x = 429,392.60

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1.5x scale

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.