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Finding the Fourth Proportional to 449,715.84, 620,694.96 and 288,774.24

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Solution

The fourth proportional to 449,715.84, 620,694.96 and 288,774.24 is: 398,564.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,715.84 : 620,694.96 = 288,774.24 : x
  2. Step 2: Convert to fraction form
    449,715.84/620,694.96 = 288,774.24/x
  3. Step 3: Cross multiply
    449,715.84x = 620,694.96 × 288,774.24
  4. Step 4: Simplify right side
    449,715.84x = 179,240,715,345.83
  5. Step 5: Solve for x
    x = 179,240,715,345.83/449,715.84
  6. Step 6: Final answer
    x = 398,564.38

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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.