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Finding the Fourth Proportional to 406,930.68, 610,271.22 and 281,377.68

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Solution

The fourth proportional to 406,930.68, 610,271.22 and 281,377.68 is: 421,980.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,930.68 : 610,271.22 = 281,377.68 : x
  2. Step 2: Convert to fraction form
    406,930.68/610,271.22 = 281,377.68/x
  3. Step 3: Cross multiply
    406,930.68x = 610,271.22 × 281,377.68
  4. Step 4: Simplify right side
    406,930.68x = 171,716,700,054.37
  5. Step 5: Solve for x
    x = 171,716,700,054.37/406,930.68
  6. Step 6: Final answer
    x = 421,980.23

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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.