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Finding the Fourth Proportional to 413,382.30, 620,073.45 and 407,852.70

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Solution

The fourth proportional to 413,382.30, 620,073.45 and 407,852.70 is: 611,779.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,382.30 : 620,073.45 = 407,852.70 : x
  2. Step 2: Convert to fraction form
    413,382.30/620,073.45 = 407,852.70/x
  3. Step 3: Cross multiply
    413,382.30x = 620,073.45 × 407,852.70
  4. Step 4: Simplify right side
    413,382.30x = 252,898,630,780.82
  5. Step 5: Solve for x
    x = 252,898,630,780.82/413,382.30
  6. Step 6: Final answer
    x = 611,779.05

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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.