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Finding the Fourth Proportional to 514,156.90, 709,765.68 and 339,832.10

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Solution

The fourth proportional to 514,156.90, 709,765.68 and 339,832.10 is: 469,119.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,156.90 : 709,765.68 = 339,832.10 : x
  2. Step 2: Convert to fraction form
    514,156.90/709,765.68 = 339,832.10/x
  3. Step 3: Cross multiply
    514,156.90x = 709,765.68 × 339,832.10
  4. Step 4: Simplify right side
    514,156.90x = 241,201,160,725.67
  5. Step 5: Solve for x
    x = 241,201,160,725.67/514,156.90
  6. Step 6: Final answer
    x = 469,119.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.