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Finding the Fourth Proportional to 509,017.32, 763,212.36 and 172,026.24

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Solution

The fourth proportional to 509,017.32, 763,212.36 and 172,026.24 is: 257,933.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,017.32 : 763,212.36 = 172,026.24 : x
  2. Step 2: Convert to fraction form
    509,017.32/763,212.36 = 172,026.24/x
  3. Step 3: Cross multiply
    509,017.32x = 763,212.36 × 172,026.24
  4. Step 4: Simplify right side
    509,017.32x = 131,292,552,612.33
  5. Step 5: Solve for x
    x = 131,292,552,612.33/509,017.32
  6. Step 6: Final answer
    x = 257,933.37

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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.