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Finding the Fourth Proportional to 385,908.60, 578,085.30 and 219,502.20

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Solution

The fourth proportional to 385,908.60, 578,085.30 and 219,502.20 is: 328,811.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,908.60 : 578,085.30 = 219,502.20 : x
  2. Step 2: Convert to fraction form
    385,908.60/578,085.30 = 219,502.20/x
  3. Step 3: Cross multiply
    385,908.60x = 578,085.30 × 219,502.20
  4. Step 4: Simplify right side
    385,908.60x = 126,890,995,137.66
  5. Step 5: Solve for x
    x = 126,890,995,137.66/385,908.60
  6. Step 6: Final answer
    x = 328,811.01

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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.