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Finding the Fourth Proportional to 354,206.40, 531,309.60 and 319,214.40

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Solution

The fourth proportional to 354,206.40, 531,309.60 and 319,214.40 is: 478,821.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,206.40 : 531,309.60 = 319,214.40 : x
  2. Step 2: Convert to fraction form
    354,206.40/531,309.60 = 319,214.40/x
  3. Step 3: Cross multiply
    354,206.40x = 531,309.60 × 319,214.40
  4. Step 4: Simplify right side
    354,206.40x = 169,601,675,178.24
  5. Step 5: Solve for x
    x = 169,601,675,178.24/354,206.40
  6. Step 6: Final answer
    x = 478,821.60

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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.