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Finding the Fourth Proportional to 406,039.32, 609,040.98 and 106,513.08

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Solution

The fourth proportional to 406,039.32, 609,040.98 and 106,513.08 is: 159,764.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,039.32 : 609,040.98 = 106,513.08 : x
  2. Step 2: Convert to fraction form
    406,039.32/609,040.98 = 106,513.08/x
  3. Step 3: Cross multiply
    406,039.32x = 609,040.98 × 106,513.08
  4. Step 4: Simplify right side
    406,039.32x = 64,870,830,626.02
  5. Step 5: Solve for x
    x = 64,870,830,626.02/406,039.32
  6. Step 6: Final answer
    x = 159,764.90

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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.