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Finding the Fourth Proportional to 509,396.94, 763,569.72 and 172,326.78

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Solution

The fourth proportional to 509,396.94, 763,569.72 and 172,326.78 is: 258,312.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,396.94 : 763,569.72 = 172,326.78 : x
  2. Step 2: Convert to fraction form
    509,396.94/763,569.72 = 172,326.78/x
  3. Step 3: Cross multiply
    509,396.94x = 763,569.72 × 172,326.78
  4. Step 4: Simplify right side
    509,396.94x = 131,583,511,153.10
  5. Step 5: Solve for x
    x = 131,583,511,153.10/509,396.94
  6. Step 6: Final answer
    x = 258,312.33

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1.5x scale

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.