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Finding the Fourth Proportional to 421,817.60, 582,116.64 and 230,830.40

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Solution

The fourth proportional to 421,817.60, 582,116.64 and 230,830.40 is: 318,550.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,817.60 : 582,116.64 = 230,830.40 : x
  2. Step 2: Convert to fraction form
    421,817.60/582,116.64 = 230,830.40/x
  3. Step 3: Cross multiply
    421,817.60x = 582,116.64 × 230,830.40
  4. Step 4: Simplify right side
    421,817.60x = 134,370,216,857.86
  5. Step 5: Solve for x
    x = 134,370,216,857.86/421,817.60
  6. Step 6: Final answer
    x = 318,550.52

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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.