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Finding the Fourth Proportional to 509,392.80, 763,214.40 and 331,808.40

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Solution

The fourth proportional to 509,392.80, 763,214.40 and 331,808.40 is: 497,142.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,392.80 : 763,214.40 = 331,808.40 : x
  2. Step 2: Convert to fraction form
    509,392.80/763,214.40 = 331,808.40/x
  3. Step 3: Cross multiply
    509,392.80x = 763,214.40 × 331,808.40
  4. Step 4: Simplify right side
    509,392.80x = 253,240,948,920.96
  5. Step 5: Solve for x
    x = 253,240,948,920.96/509,392.80
  6. Step 6: Final answer
    x = 497,142.77

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1.5x scale

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.