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Finding the Fourth Proportional to 354,706.60, 531,368.70 and 214,047.40

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Solution

The fourth proportional to 354,706.60, 531,368.70 and 214,047.40 is: 320,654.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,706.60 : 531,368.70 = 214,047.40 : x
  2. Step 2: Convert to fraction form
    354,706.60/531,368.70 = 214,047.40/x
  3. Step 3: Cross multiply
    354,706.60x = 531,368.70 × 214,047.40
  4. Step 4: Simplify right side
    354,706.60x = 113,738,088,676.38
  5. Step 5: Solve for x
    x = 113,738,088,676.38/354,706.60
  6. Step 6: Final answer
    x = 320,654.00

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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.