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Finding the Fourth Proportional to 374,169.36, 561,475.47 and 137,678.11

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Solution

The fourth proportional to 374,169.36, 561,475.47 and 137,678.11 is: 206,598.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,169.36 : 561,475.47 = 137,678.11 : x
  2. Step 2: Convert to fraction form
    374,169.36/561,475.47 = 137,678.11/x
  3. Step 3: Cross multiply
    374,169.36x = 561,475.47 × 137,678.11
  4. Step 4: Simplify right side
    374,169.36x = 77,302,881,520.96
  5. Step 5: Solve for x
    x = 77,302,881,520.96/374,169.36
  6. Step 6: Final answer
    x = 206,598.64

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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.