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Finding the Fourth Proportional to 514,535.60, 771,803.40 and 140,558.60

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Solution

The fourth proportional to 514,535.60, 771,803.40 and 140,558.60 is: 210,837.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,535.60 : 771,803.40 = 140,558.60 : x
  2. Step 2: Convert to fraction form
    514,535.60/771,803.40 = 140,558.60/x
  3. Step 3: Cross multiply
    514,535.60x = 771,803.40 × 140,558.60
  4. Step 4: Simplify right side
    514,535.60x = 108,483,605,379.24
  5. Step 5: Solve for x
    x = 108,483,605,379.24/514,535.60
  6. Step 6: Final answer
    x = 210,837.90

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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.