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Finding the Fourth Proportional to 517,749, 776,656.88 and 162,776.76

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Solution

The fourth proportional to 517,749, 776,656.88 and 162,776.76 is: 244,175.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,749 : 776,656.88 = 162,776.76 : x
  2. Step 2: Convert to fraction form
    517,749/776,656.88 = 162,776.76/x
  3. Step 3: Cross multiply
    517,749x = 776,656.88 × 162,776.76
  4. Step 4: Simplify right side
    517,749x = 126,421,690,558.11
  5. Step 5: Solve for x
    x = 126,421,690,558.11/517,749
  6. Step 6: Final answer
    x = 244,175.63

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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.