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Finding the Fourth Proportional to 353,453.60, 529,834.80 and 142,810.40

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Solution

The fourth proportional to 353,453.60, 529,834.80 and 142,810.40 is: 214,075.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,453.60 : 529,834.80 = 142,810.40 : x
  2. Step 2: Convert to fraction form
    353,453.60/529,834.80 = 142,810.40/x
  3. Step 3: Cross multiply
    353,453.60x = 529,834.80 × 142,810.40
  4. Step 4: Simplify right side
    353,453.60x = 75,665,919,721.92
  5. Step 5: Solve for x
    x = 75,665,919,721.92/353,453.60
  6. Step 6: Final answer
    x = 214,075.96

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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.