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Finding the Fourth Proportional to 310,492.20, 465,738.30 and 292,121.40

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Solution

The fourth proportional to 310,492.20, 465,738.30 and 292,121.40 is: 438,182.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,492.20 : 465,738.30 = 292,121.40 : x
  2. Step 2: Convert to fraction form
    310,492.20/465,738.30 = 292,121.40/x
  3. Step 3: Cross multiply
    310,492.20x = 465,738.30 × 292,121.40
  4. Step 4: Simplify right side
    310,492.20x = 136,052,124,229.62
  5. Step 5: Solve for x
    x = 136,052,124,229.62/310,492.20
  6. Step 6: Final answer
    x = 438,182.10

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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.