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Finding the Fourth Proportional to 340,442.34, 510,663.51 and 103,782.97

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Solution

The fourth proportional to 340,442.34, 510,663.51 and 103,782.97 is: 155,674.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,442.34 : 510,663.51 = 103,782.97 : x
  2. Step 2: Convert to fraction form
    340,442.34/510,663.51 = 103,782.97/x
  3. Step 3: Cross multiply
    340,442.34x = 510,663.51 × 103,782.97
  4. Step 4: Simplify right side
    340,442.34x = 52,998,174,202.31
  5. Step 5: Solve for x
    x = 52,998,174,202.31/340,442.34
  6. Step 6: Final answer
    x = 155,674.45

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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.