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Finding the Fourth Proportional to 438,052.35, 657,683.64 and 302,783.22

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Solution

The fourth proportional to 438,052.35, 657,683.64 and 302,783.22 is: 454,593.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,052.35 : 657,683.64 = 302,783.22 : x
  2. Step 2: Convert to fraction form
    438,052.35/657,683.64 = 302,783.22/x
  3. Step 3: Cross multiply
    438,052.35x = 657,683.64 × 302,783.22
  4. Step 4: Simplify right side
    438,052.35x = 199,135,570,260.52
  5. Step 5: Solve for x
    x = 199,135,570,260.52/438,052.35
  6. Step 6: Final answer
    x = 454,593.09

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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.