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Finding the Fourth Proportional to 517,731.60, 776,596.80 and 162,776.64

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Solution

The fourth proportional to 517,731.60, 776,596.80 and 162,776.64 is: 244,164.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,731.60 : 776,596.80 = 162,776.64 : x
  2. Step 2: Convert to fraction form
    517,731.60/776,596.80 = 162,776.64/x
  3. Step 3: Cross multiply
    517,731.60x = 776,596.80 × 162,776.64
  4. Step 4: Simplify right side
    517,731.60x = 126,411,817,738.75
  5. Step 5: Solve for x
    x = 126,411,817,738.75/517,731.60
  6. Step 6: Final answer
    x = 244,164.77

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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.