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Finding the Fourth Proportional to 349,640.40, 524,153.40 and 209,454.80

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Solution

The fourth proportional to 349,640.40, 524,153.40 and 209,454.80 is: 313,998.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,640.40 : 524,153.40 = 209,454.80 : x
  2. Step 2: Convert to fraction form
    349,640.40/524,153.40 = 209,454.80/x
  3. Step 3: Cross multiply
    349,640.40x = 524,153.40 × 209,454.80
  4. Step 4: Simplify right side
    349,640.40x = 109,786,445,566.32
  5. Step 5: Solve for x
    x = 109,786,445,566.32/349,640.40
  6. Step 6: Final answer
    x = 313,998.17

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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.