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Finding the Fourth Proportional to 433,518.60, 649,356.30 and 284,219.40

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Solution

The fourth proportional to 433,518.60, 649,356.30 and 284,219.40 is: 425,724.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,518.60 : 649,356.30 = 284,219.40 : x
  2. Step 2: Convert to fraction form
    433,518.60/649,356.30 = 284,219.40/x
  3. Step 3: Cross multiply
    433,518.60x = 649,356.30 × 284,219.40
  4. Step 4: Simplify right side
    433,518.60x = 184,559,657,972.22
  5. Step 5: Solve for x
    x = 184,559,657,972.22/433,518.60
  6. Step 6: Final answer
    x = 425,724.89

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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.