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Finding the Fourth Proportional to 946,564.40, 1,420,235.40 and 347,812.40

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Solution

The fourth proportional to 946,564.40, 1,420,235.40 and 347,812.40 is: 521,861.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,564.40 : 1,420,235.40 = 347,812.40 : x
  2. Step 2: Convert to fraction form
    946,564.40/1,420,235.40 = 347,812.40/x
  3. Step 3: Cross multiply
    946,564.40x = 1,420,235.40 × 347,812.40
  4. Step 4: Simplify right side
    946,564.40x = 493,975,483,038.96
  5. Step 5: Solve for x
    x = 493,975,483,038.96/946,564.40
  6. Step 6: Final answer
    x = 521,861.46

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