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Finding the Fourth Proportional to 343,313.10, 514,969.65 and 217,341.90

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Solution

The fourth proportional to 343,313.10, 514,969.65 and 217,341.90 is: 326,012.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,313.10 : 514,969.65 = 217,341.90 : x
  2. Step 2: Convert to fraction form
    343,313.10/514,969.65 = 217,341.90/x
  3. Step 3: Cross multiply
    343,313.10x = 514,969.65 × 217,341.90
  4. Step 4: Simplify right side
    343,313.10x = 111,924,482,173.34
  5. Step 5: Solve for x
    x = 111,924,482,173.34/343,313.10
  6. Step 6: Final answer
    x = 326,012.85

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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.