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Finding the Fourth Proportional to 501,120, 691,868.16 and 447,312.96

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Solution

The fourth proportional to 501,120, 691,868.16 and 447,312.96 is: 617,579.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,120 : 691,868.16 = 447,312.96 : x
  2. Step 2: Convert to fraction form
    501,120/691,868.16 = 447,312.96/x
  3. Step 3: Cross multiply
    501,120x = 691,868.16 × 447,312.96
  4. Step 4: Simplify right side
    501,120x = 309,481,594,579.35
  5. Step 5: Solve for x
    x = 309,481,594,579.35/501,120
  6. Step 6: Final answer
    x = 617,579.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.