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Finding the Fourth Proportional to 413,530.58, 620,381.95 and 129,209.64

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Solution

The fourth proportional to 413,530.58, 620,381.95 and 129,209.64 is: 193,841.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,530.58 : 620,381.95 = 129,209.64 : x
  2. Step 2: Convert to fraction form
    413,530.58/620,381.95 = 129,209.64/x
  3. Step 3: Cross multiply
    413,530.58x = 620,381.95 × 129,209.64
  4. Step 4: Simplify right side
    413,530.58x = 80,159,328,422.00
  5. Step 5: Solve for x
    x = 80,159,328,422.00/413,530.58
  6. Step 6: Final answer
    x = 193,841.36

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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.