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Finding the Fourth Proportional to 437,389.89, 603,710.64 and 284,808.93

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Solution

The fourth proportional to 437,389.89, 603,710.64 and 284,808.93 is: 393,109.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,389.89 : 603,710.64 = 284,808.93 : x
  2. Step 2: Convert to fraction form
    437,389.89/603,710.64 = 284,808.93/x
  3. Step 3: Cross multiply
    437,389.89x = 603,710.64 × 284,808.93
  4. Step 4: Simplify right side
    437,389.89x = 171,942,181,408.02
  5. Step 5: Solve for x
    x = 171,942,181,408.02/437,389.89
  6. Step 6: Final answer
    x = 393,109.64

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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.