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Finding the Fourth Proportional to 514,908.30, 772,350.30 and 140,931.30

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Solution

The fourth proportional to 514,908.30, 772,350.30 and 140,931.30 is: 211,393.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,908.30 : 772,350.30 = 140,931.30 : x
  2. Step 2: Convert to fraction form
    514,908.30/772,350.30 = 140,931.30/x
  3. Step 3: Cross multiply
    514,908.30x = 772,350.30 × 140,931.30
  4. Step 4: Simplify right side
    514,908.30x = 108,848,331,834.39
  5. Step 5: Solve for x
    x = 108,848,331,834.39/514,908.30
  6. Step 6: Final answer
    x = 211,393.62

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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.