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Finding the Fourth Proportional to 509,364.60, 764,046.90 and 462,125.40

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Solution

The fourth proportional to 509,364.60, 764,046.90 and 462,125.40 is: 693,188.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,364.60 : 764,046.90 = 462,125.40 : x
  2. Step 2: Convert to fraction form
    509,364.60/764,046.90 = 462,125.40/x
  3. Step 3: Cross multiply
    509,364.60x = 764,046.90 × 462,125.40
  4. Step 4: Simplify right side
    509,364.60x = 353,085,479,281.26
  5. Step 5: Solve for x
    x = 353,085,479,281.26/509,364.60
  6. Step 6: Final answer
    x = 693,188.10

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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.