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Finding the Fourth Proportional to 306,898.40, 459,051.60 and 275,535.20

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Solution

The fourth proportional to 306,898.40, 459,051.60 and 275,535.20 is: 412,139.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,898.40 : 459,051.60 = 275,535.20 : x
  2. Step 2: Convert to fraction form
    306,898.40/459,051.60 = 275,535.20/x
  3. Step 3: Cross multiply
    306,898.40x = 459,051.60 × 275,535.20
  4. Step 4: Simplify right side
    306,898.40x = 126,484,874,416.32
  5. Step 5: Solve for x
    x = 126,484,874,416.32/306,898.40
  6. Step 6: Final answer
    x = 412,139.24

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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.