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Finding the Fourth Proportional to 537,312.80, 806,552.40 and 419,506.40

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Solution

The fourth proportional to 537,312.80, 806,552.40 and 419,506.40 is: 629,714.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,312.80 : 806,552.40 = 419,506.40 : x
  2. Step 2: Convert to fraction form
    537,312.80/806,552.40 = 419,506.40/x
  3. Step 3: Cross multiply
    537,312.80x = 806,552.40 × 419,506.40
  4. Step 4: Simplify right side
    537,312.80x = 338,353,893,735.36
  5. Step 5: Solve for x
    x = 338,353,893,735.36/537,312.80
  6. Step 6: Final answer
    x = 629,714.93

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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.