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Finding the Fourth Proportional to 514,069.19, 771,265.10 and 309,139.71

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Solution

The fourth proportional to 514,069.19, 771,265.10 and 309,139.71 is: 463,806.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,069.19 : 771,265.10 = 309,139.71 : x
  2. Step 2: Convert to fraction form
    514,069.19/771,265.10 = 309,139.71/x
  3. Step 3: Cross multiply
    514,069.19x = 771,265.10 × 309,139.71
  4. Step 4: Simplify right side
    514,069.19x = 238,428,670,119.97
  5. Step 5: Solve for x
    x = 238,428,670,119.97/514,069.19
  6. Step 6: Final answer
    x = 463,806.57

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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.