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Finding the Fourth Proportional to 353,980.80, 530,957.76 and 143,562.24

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Solution

The fourth proportional to 353,980.80, 530,957.76 and 143,562.24 is: 215,337.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,980.80 : 530,957.76 = 143,562.24 : x
  2. Step 2: Convert to fraction form
    353,980.80/530,957.76 = 143,562.24/x
  3. Step 3: Cross multiply
    353,980.80x = 530,957.76 × 143,562.24
  4. Step 4: Simplify right side
    353,980.80x = 76,225,485,370.98
  5. Step 5: Solve for x
    x = 76,225,485,370.98/353,980.80
  6. Step 6: Final answer
    x = 215,337.91

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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.