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Finding the Fourth Proportional to 512,906.40, 770,281.20 and 496,317.60

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Solution

The fourth proportional to 512,906.40, 770,281.20 and 496,317.60 is: 745,368.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,906.40 : 770,281.20 = 496,317.60 : x
  2. Step 2: Convert to fraction form
    512,906.40/770,281.20 = 496,317.60/x
  3. Step 3: Cross multiply
    512,906.40x = 770,281.20 × 496,317.60
  4. Step 4: Simplify right side
    512,906.40x = 382,304,116,509.12
  5. Step 5: Solve for x
    x = 382,304,116,509.12/512,906.40
  6. Step 6: Final answer
    x = 745,368.19

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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.