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Finding the Fourth Proportional to 475,410, 656,065.80 and 284,431.44

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Solution

The fourth proportional to 475,410, 656,065.80 and 284,431.44 is: 392,515.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,410 : 656,065.80 = 284,431.44 : x
  2. Step 2: Convert to fraction form
    475,410/656,065.80 = 284,431.44/x
  3. Step 3: Cross multiply
    475,410x = 656,065.80 × 284,431.44
  4. Step 4: Simplify right side
    475,410x = 186,605,740,228.75
  5. Step 5: Solve for x
    x = 186,605,740,228.75/475,410
  6. Step 6: Final answer
    x = 392,515.39

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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.