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Finding the Fourth Proportional to 420,428.64, 580,186.08 and 257,030.58

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Solution

The fourth proportional to 420,428.64, 580,186.08 and 257,030.58 is: 354,698.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,428.64 : 580,186.08 = 257,030.58 : x
  2. Step 2: Convert to fraction form
    420,428.64/580,186.08 = 257,030.58/x
  3. Step 3: Cross multiply
    420,428.64x = 580,186.08 × 257,030.58
  4. Step 4: Simplify right side
    420,428.64x = 149,125,564,650.33
  5. Step 5: Solve for x
    x = 149,125,564,650.33/420,428.64
  6. Step 6: Final answer
    x = 354,698.87

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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.