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Finding the Fourth Proportional to 517,539.42, 776,302.65 and 180,579.42

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Solution

The fourth proportional to 517,539.42, 776,302.65 and 180,579.42 is: 270,866.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,539.42 : 776,302.65 = 180,579.42 : x
  2. Step 2: Convert to fraction form
    517,539.42/776,302.65 = 180,579.42/x
  3. Step 3: Cross multiply
    517,539.42x = 776,302.65 × 180,579.42
  4. Step 4: Simplify right side
    517,539.42x = 140,184,282,281.46
  5. Step 5: Solve for x
    x = 140,184,282,281.46/517,539.42
  6. Step 6: Final answer
    x = 270,866.87

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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.