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Finding the Fourth Proportional to 509,404.60, 702,984.72 and 279,986.96

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Solution

The fourth proportional to 509,404.60, 702,984.72 and 279,986.96 is: 386,385.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,404.60 : 702,984.72 = 279,986.96 : x
  2. Step 2: Convert to fraction form
    509,404.60/702,984.72 = 279,986.96/x
  3. Step 3: Cross multiply
    509,404.60x = 702,984.72 × 279,986.96
  4. Step 4: Simplify right side
    509,404.60x = 196,826,554,679.25
  5. Step 5: Solve for x
    x = 196,826,554,679.25/509,404.60
  6. Step 6: Final answer
    x = 386,385.51

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1.5x scale

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.