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Finding the Fourth Proportional to 340,291.56, 510,465.70 and 103,636.30

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Solution

The fourth proportional to 340,291.56, 510,465.70 and 103,636.30 is: 155,463.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,291.56 : 510,465.70 = 103,636.30 : x
  2. Step 2: Convert to fraction form
    340,291.56/510,465.70 = 103,636.30/x
  3. Step 3: Cross multiply
    340,291.56x = 510,465.70 × 103,636.30
  4. Step 4: Simplify right side
    340,291.56x = 52,902,776,424.91
  5. Step 5: Solve for x
    x = 52,902,776,424.91/340,291.56
  6. Step 6: Final answer
    x = 155,463.09

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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.