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Finding the Fourth Proportional to 374,169.61, 561,475.84 and 137,678.36

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Solution

The fourth proportional to 374,169.61, 561,475.84 and 137,678.36 is: 206,599.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,169.61 : 561,475.84 = 137,678.36 : x
  2. Step 2: Convert to fraction form
    374,169.61/561,475.84 = 137,678.36/x
  3. Step 3: Cross multiply
    374,169.61x = 561,475.84 × 137,678.36
  4. Step 4: Simplify right side
    374,169.61x = 77,303,072,830.82
  5. Step 5: Solve for x
    x = 77,303,072,830.82/374,169.61
  6. Step 6: Final answer
    x = 206,599.02

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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.