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Finding the Fourth Proportional to 312,875.60, 469,532.10 and 200,828.30

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Solution

The fourth proportional to 312,875.60, 469,532.10 and 200,828.30 is: 301,382.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,875.60 : 469,532.10 = 200,828.30 : x
  2. Step 2: Convert to fraction form
    312,875.60/469,532.10 = 200,828.30/x
  3. Step 3: Cross multiply
    312,875.60x = 469,532.10 × 200,828.30
  4. Step 4: Simplify right side
    312,875.60x = 94,295,333,438.43
  5. Step 5: Solve for x
    x = 94,295,333,438.43/312,875.60
  6. Step 6: Final answer
    x = 301,382.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.