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Finding the Fourth Proportional to 455,315.32, 683,047.05 and 171,028

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Solution

The fourth proportional to 455,315.32, 683,047.05 and 171,028 is: 256,569.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,315.32 : 683,047.05 = 171,028 : x
  2. Step 2: Convert to fraction form
    455,315.32/683,047.05 = 171,028/x
  3. Step 3: Cross multiply
    455,315.32x = 683,047.05 × 171,028
  4. Step 4: Simplify right side
    455,315.32x = 116,820,170,867.40
  5. Step 5: Solve for x
    x = 116,820,170,867.40/455,315.32
  6. Step 6: Final answer
    x = 256,569.82

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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.