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Finding the Fourth Proportional to 340,149.29, 510,297.74 and 103,485.82

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Solution

The fourth proportional to 340,149.29, 510,297.74 and 103,485.82 is: 155,251.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,149.29 : 510,297.74 = 103,485.82 : x
  2. Step 2: Convert to fraction form
    340,149.29/510,297.74 = 103,485.82/x
  3. Step 3: Cross multiply
    340,149.29x = 510,297.74 × 103,485.82
  4. Step 4: Simplify right side
    340,149.29x = 52,808,580,068.05
  5. Step 5: Solve for x
    x = 52,808,580,068.05/340,149.29
  6. Step 6: Final answer
    x = 155,251.18

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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.