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Finding the Fourth Proportional to 353,456.20, 530,184.30 and 142,985.80

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Solution

The fourth proportional to 353,456.20, 530,184.30 and 142,985.80 is: 214,478.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,456.20 : 530,184.30 = 142,985.80 : x
  2. Step 2: Convert to fraction form
    353,456.20/530,184.30 = 142,985.80/x
  3. Step 3: Cross multiply
    353,456.20x = 530,184.30 × 142,985.80
  4. Step 4: Simplify right side
    353,456.20x = 75,808,826,282.94
  5. Step 5: Solve for x
    x = 75,808,826,282.94/353,456.20
  6. Step 6: Final answer
    x = 214,478.70

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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.