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Finding the Fourth Proportional to 428,405.60, 590,461.80 and 284,909.24

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Solution

The fourth proportional to 428,405.60, 590,461.80 and 284,909.24 is: 392,684.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,405.60 : 590,461.80 = 284,909.24 : x
  2. Step 2: Convert to fraction form
    428,405.60/590,461.80 = 284,909.24/x
  3. Step 3: Cross multiply
    428,405.60x = 590,461.80 × 284,909.24
  4. Step 4: Simplify right side
    428,405.60x = 168,228,022,687.03
  5. Step 5: Solve for x
    x = 168,228,022,687.03/428,405.60
  6. Step 6: Final answer
    x = 392,684.00

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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.