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Finding the Fourth Proportional to 406,859.80, 610,143.90 and 207,113.80

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Solution

The fourth proportional to 406,859.80, 610,143.90 and 207,113.80 is: 310,596.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,859.80 : 610,143.90 = 207,113.80 : x
  2. Step 2: Convert to fraction form
    406,859.80/610,143.90 = 207,113.80/x
  3. Step 3: Cross multiply
    406,859.80x = 610,143.90 × 207,113.80
  4. Step 4: Simplify right side
    406,859.80x = 126,369,221,675.82
  5. Step 5: Solve for x
    x = 126,369,221,675.82/406,859.80
  6. Step 6: Final answer
    x = 310,596.48

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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.