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Finding the Fourth Proportional to 354,702.60, 531,362.70 and 214,043.40

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Solution

The fourth proportional to 354,702.60, 531,362.70 and 214,043.40 is: 320,648.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,702.60 : 531,362.70 = 214,043.40 : x
  2. Step 2: Convert to fraction form
    354,702.60/531,362.70 = 214,043.40/x
  3. Step 3: Cross multiply
    354,702.60x = 531,362.70 × 214,043.40
  4. Step 4: Simplify right side
    354,702.60x = 113,734,678,941.18
  5. Step 5: Solve for x
    x = 113,734,678,941.18/354,702.60
  6. Step 6: Final answer
    x = 320,648.00

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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.