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Finding the Fourth Proportional to 508,022.70, 760,539.21 and 339,124.10

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Solution

The fourth proportional to 508,022.70, 760,539.21 and 339,124.10 is: 507,688.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,022.70 : 760,539.21 = 339,124.10 : x
  2. Step 2: Convert to fraction form
    508,022.70/760,539.21 = 339,124.10/x
  3. Step 3: Cross multiply
    508,022.70x = 760,539.21 × 339,124.10
  4. Step 4: Simplify right side
    508,022.70x = 257,917,175,105.96
  5. Step 5: Solve for x
    x = 257,917,175,105.96/508,022.70
  6. Step 6: Final answer
    x = 507,688.29

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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.