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Finding the Fourth Proportional to 385,441.80, 577,817.10 and 343,451.40

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Solution

The fourth proportional to 385,441.80, 577,817.10 and 343,451.40 is: 514,869.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,441.80 : 577,817.10 = 343,451.40 : x
  2. Step 2: Convert to fraction form
    385,441.80/577,817.10 = 343,451.40/x
  3. Step 3: Cross multiply
    385,441.80x = 577,817.10 × 343,451.40
  4. Step 4: Simplify right side
    385,441.80x = 198,452,091,938.94
  5. Step 5: Solve for x
    x = 198,452,091,938.94/385,441.80
  6. Step 6: Final answer
    x = 514,869.15

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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.