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Finding the Fourth Proportional to 279,484.80, 385,688.50 and 152,160.09

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Solution

The fourth proportional to 279,484.80, 385,688.50 and 152,160.09 is: 209,980.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,484.80 : 385,688.50 = 152,160.09 : x
  2. Step 2: Convert to fraction form
    279,484.80/385,688.50 = 152,160.09/x
  3. Step 3: Cross multiply
    279,484.80x = 385,688.50 × 152,160.09
  4. Step 4: Simplify right side
    279,484.80x = 58,686,396,491.56
  5. Step 5: Solve for x
    x = 58,686,396,491.56/279,484.80
  6. Step 6: Final answer
    x = 209,980.64

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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.