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Finding the Fourth Proportional to 305,417.20, 458,471.40 and 180,828.40

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Solution

The fourth proportional to 305,417.20, 458,471.40 and 180,828.40 is: 271,447.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,417.20 : 458,471.40 = 180,828.40 : x
  2. Step 2: Convert to fraction form
    305,417.20/458,471.40 = 180,828.40/x
  3. Step 3: Cross multiply
    305,417.20x = 458,471.40 × 180,828.40
  4. Step 4: Simplify right side
    305,417.20x = 82,904,649,707.76
  5. Step 5: Solve for x
    x = 82,904,649,707.76/305,417.20
  6. Step 6: Final answer
    x = 271,447.22

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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.