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Finding the Fourth Proportional to 351,043.40, 525,029.10 and 313,872.20

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Solution

The fourth proportional to 351,043.40, 525,029.10 and 313,872.20 is: 469,434.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,043.40 : 525,029.10 = 313,872.20 : x
  2. Step 2: Convert to fraction form
    351,043.40/525,029.10 = 313,872.20/x
  3. Step 3: Cross multiply
    351,043.40x = 525,029.10 × 313,872.20
  4. Step 4: Simplify right side
    351,043.40x = 164,792,038,681.02
  5. Step 5: Solve for x
    x = 164,792,038,681.02/351,043.40
  6. Step 6: Final answer
    x = 469,434.94

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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.