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Finding the Fourth Proportional to 509,405.80, 763,233.90 and 331,821.40

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Solution

The fourth proportional to 509,405.80, 763,233.90 and 331,821.40 is: 497,162.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,405.80 : 763,233.90 = 331,821.40 : x
  2. Step 2: Convert to fraction form
    509,405.80/763,233.90 = 331,821.40/x
  3. Step 3: Cross multiply
    509,405.80x = 763,233.90 × 331,821.40
  4. Step 4: Simplify right side
    509,405.80x = 253,257,341,225.46
  5. Step 5: Solve for x
    x = 253,257,341,225.46/509,405.80
  6. Step 6: Final answer
    x = 497,162.26

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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.