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Finding the Fourth Proportional to 354,349.96, 531,774.02 and 320,470.60

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Solution

The fourth proportional to 354,349.96, 531,774.02 and 320,470.60 is: 480,931.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,349.96 : 531,774.02 = 320,470.60 : x
  2. Step 2: Convert to fraction form
    354,349.96/531,774.02 = 320,470.60/x
  3. Step 3: Cross multiply
    354,349.96x = 531,774.02 × 320,470.60
  4. Step 4: Simplify right side
    354,349.96x = 170,417,937,919.98
  5. Step 5: Solve for x
    x = 170,417,937,919.98/354,349.96
  6. Step 6: Final answer
    x = 480,931.16

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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.