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Finding the Fourth Proportional to 509,318.60, 763,419.90 and 256,195.40

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Solution

The fourth proportional to 509,318.60, 763,419.90 and 256,195.40 is: 384,012.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,318.60 : 763,419.90 = 256,195.40 : x
  2. Step 2: Convert to fraction form
    509,318.60/763,419.90 = 256,195.40/x
  3. Step 3: Cross multiply
    509,318.60x = 763,419.90 × 256,195.40
  4. Step 4: Simplify right side
    509,318.60x = 195,584,666,648.46
  5. Step 5: Solve for x
    x = 195,584,666,648.46/509,318.60
  6. Step 6: Final answer
    x = 384,012.42

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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.