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Finding the Fourth Proportional to 405,457.49, 608,285.41 and 285,748.01

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Solution

The fourth proportional to 405,457.49, 608,285.41 and 285,748.01 is: 428,691.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,457.49 : 608,285.41 = 285,748.01 : x
  2. Step 2: Convert to fraction form
    405,457.49/608,285.41 = 285,748.01/x
  3. Step 3: Cross multiply
    405,457.49x = 608,285.41 × 285,748.01
  4. Step 4: Simplify right side
    405,457.49x = 173,816,341,663.74
  5. Step 5: Solve for x
    x = 173,816,341,663.74/405,457.49
  6. Step 6: Final answer
    x = 428,691.91

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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.