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Finding the Fourth Proportional to 340,493.93, 510,739.51 and 103,835.92

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Solution

The fourth proportional to 340,493.93, 510,739.51 and 103,835.92 is: 155,753.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,493.93 : 510,739.51 = 103,835.92 : x
  2. Step 2: Convert to fraction form
    340,493.93/510,739.51 = 103,835.92/x
  3. Step 3: Cross multiply
    340,493.93x = 510,739.51 × 103,835.92
  4. Step 4: Simplify right side
    340,493.93x = 53,033,103,828.32
  5. Step 5: Solve for x
    x = 53,033,103,828.32/340,493.93
  6. Step 6: Final answer
    x = 155,753.45

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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.