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Finding the Fourth Proportional to 406,412.70, 609,619.05 and 264,695.10

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Solution

The fourth proportional to 406,412.70, 609,619.05 and 264,695.10 is: 397,042.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,412.70 : 609,619.05 = 264,695.10 : x
  2. Step 2: Convert to fraction form
    406,412.70/609,619.05 = 264,695.10/x
  3. Step 3: Cross multiply
    406,412.70x = 609,619.05 × 264,695.10
  4. Step 4: Simplify right side
    406,412.70x = 161,363,175,401.66
  5. Step 5: Solve for x
    x = 161,363,175,401.66/406,412.70
  6. Step 6: Final answer
    x = 397,042.65

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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.