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Finding the Fourth Proportional to 409,877.93, 565,732.95 and 279,271.65

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Solution

The fourth proportional to 409,877.93, 565,732.95 and 279,271.65 is: 385,463.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,877.93 : 565,732.95 = 279,271.65 : x
  2. Step 2: Convert to fraction form
    409,877.93/565,732.95 = 279,271.65/x
  3. Step 3: Cross multiply
    409,877.93x = 565,732.95 × 279,271.65
  4. Step 4: Simplify right side
    409,877.93x = 157,993,171,577.20
  5. Step 5: Solve for x
    x = 157,993,171,577.20/409,877.93
  6. Step 6: Final answer
    x = 385,463.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.