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Finding the Fourth Proportional to 385,630.30, 577,279.05 and 343,639.90

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Solution

The fourth proportional to 385,630.30, 577,279.05 and 343,639.90 is: 514,420.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,630.30 : 577,279.05 = 343,639.90 : x
  2. Step 2: Convert to fraction form
    385,630.30/577,279.05 = 343,639.90/x
  3. Step 3: Cross multiply
    385,630.30x = 577,279.05 × 343,639.90
  4. Step 4: Simplify right side
    385,630.30x = 198,376,115,014.10
  5. Step 5: Solve for x
    x = 198,376,115,014.10/385,630.30
  6. Step 6: Final answer
    x = 514,420.46

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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.