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Finding the Fourth Proportional to 243,011.80, 364,517.70 and 209,186.20

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Solution

The fourth proportional to 243,011.80, 364,517.70 and 209,186.20 is: 313,779.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,011.80 : 364,517.70 = 209,186.20 : x
  2. Step 2: Convert to fraction form
    243,011.80/364,517.70 = 209,186.20/x
  3. Step 3: Cross multiply
    243,011.80x = 364,517.70 × 209,186.20
  4. Step 4: Simplify right side
    243,011.80x = 76,252,072,495.74
  5. Step 5: Solve for x
    x = 76,252,072,495.74/243,011.80
  6. Step 6: Final answer
    x = 313,779.30

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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.