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Finding the Fourth Proportional to 420,429.64, 580,187.46 and 257,031.58

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Solution

The fourth proportional to 420,429.64, 580,187.46 and 257,031.58 is: 354,700.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,429.64 : 580,187.46 = 257,031.58 : x
  2. Step 2: Convert to fraction form
    420,429.64/580,187.46 = 257,031.58/x
  3. Step 3: Cross multiply
    420,429.64x = 580,187.46 × 257,031.58
  4. Step 4: Simplify right side
    420,429.64x = 149,126,499,539.99
  5. Step 5: Solve for x
    x = 149,126,499,539.99/420,429.64
  6. Step 6: Final answer
    x = 354,700.25

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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.