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Finding the Fourth Proportional to 514,834.12, 772,240 and 140,857.12

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Solution

The fourth proportional to 514,834.12, 772,240 and 140,857.12 is: 211,282.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,834.12 : 772,240 = 140,857.12 : x
  2. Step 2: Convert to fraction form
    514,834.12/772,240 = 140,857.12/x
  3. Step 3: Cross multiply
    514,834.12x = 772,240 × 140,857.12
  4. Step 4: Simplify right side
    514,834.12x = 108,775,502,348.80
  5. Step 5: Solve for x
    x = 108,775,502,348.80/514,834.12
  6. Step 6: Final answer
    x = 211,282.62

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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.