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Finding the Fourth Proportional to 401,457.80, 601,661.10 and 202,003.40

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Solution

The fourth proportional to 401,457.80, 601,661.10 and 202,003.40 is: 302,740.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,457.80 : 601,661.10 = 202,003.40 : x
  2. Step 2: Convert to fraction form
    401,457.80/601,661.10 = 202,003.40/x
  3. Step 3: Cross multiply
    401,457.80x = 601,661.10 × 202,003.40
  4. Step 4: Simplify right side
    401,457.80x = 121,537,587,847.74
  5. Step 5: Solve for x
    x = 121,537,587,847.74/401,457.80
  6. Step 6: Final answer
    x = 302,740.63

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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.