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Finding the Fourth Proportional to 340,288.56, 510,461.19 and 103,633.29

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Solution

The fourth proportional to 340,288.56, 510,461.19 and 103,633.29 is: 155,458.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,288.56 : 510,461.19 = 103,633.29 : x
  2. Step 2: Convert to fraction form
    340,288.56/510,461.19 = 103,633.29/x
  3. Step 3: Cross multiply
    340,288.56x = 510,461.19 × 103,633.29
  4. Step 4: Simplify right side
    340,288.56x = 52,900,772,537.02
  5. Step 5: Solve for x
    x = 52,900,772,537.02/340,288.56
  6. Step 6: Final answer
    x = 155,458.57

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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.