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Finding the Fourth Proportional to 401,776.83, 602,645.74 and 149,106.57

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Solution

The fourth proportional to 401,776.83, 602,645.74 and 149,106.57 is: 223,652.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,776.83 : 602,645.74 = 149,106.57 : x
  2. Step 2: Convert to fraction form
    401,776.83/602,645.74 = 149,106.57/x
  3. Step 3: Cross multiply
    401,776.83x = 602,645.74 × 149,106.57
  4. Step 4: Simplify right side
    401,776.83x = 89,858,439,216.51
  5. Step 5: Solve for x
    x = 89,858,439,216.51/401,776.83
  6. Step 6: Final answer
    x = 223,652.62

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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.