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Finding the Fourth Proportional to 659,857.80, 989,819.10 and 344,929.80

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Solution

The fourth proportional to 659,857.80, 989,819.10 and 344,929.80 is: 517,411.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,857.80 : 989,819.10 = 344,929.80 : x
  2. Step 2: Convert to fraction form
    659,857.80/989,819.10 = 344,929.80/x
  3. Step 3: Cross multiply
    659,857.80x = 989,819.10 × 344,929.80
  4. Step 4: Simplify right side
    659,857.80x = 341,418,104,199.18
  5. Step 5: Solve for x
    x = 341,418,104,199.18/659,857.80
  6. Step 6: Final answer
    x = 517,411.64

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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.