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Finding the Fourth Proportional to 513,572.76, 769,941.78 and 214,276.32

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Solution

The fourth proportional to 513,572.76, 769,941.78 and 214,276.32 is: 321,240.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,572.76 : 769,941.78 = 214,276.32 : x
  2. Step 2: Convert to fraction form
    513,572.76/769,941.78 = 214,276.32/x
  3. Step 3: Cross multiply
    513,572.76x = 769,941.78 × 214,276.32
  4. Step 4: Simplify right side
    513,572.76x = 164,980,291,232.65
  5. Step 5: Solve for x
    x = 164,980,291,232.65/513,572.76
  6. Step 6: Final answer
    x = 321,240.35

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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.