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Finding the Fourth Proportional to 413,998.65, 620,997.98 and 272,281.05

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Solution

The fourth proportional to 413,998.65, 620,997.98 and 272,281.05 is: 408,421.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,998.65 : 620,997.98 = 272,281.05 : x
  2. Step 2: Convert to fraction form
    413,998.65/620,997.98 = 272,281.05/x
  3. Step 3: Cross multiply
    413,998.65x = 620,997.98 × 272,281.05
  4. Step 4: Simplify right side
    413,998.65x = 169,085,980,680.87
  5. Step 5: Solve for x
    x = 169,085,980,680.87/413,998.65
  6. Step 6: Final answer
    x = 408,421.58

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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.