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Finding the Fourth Proportional to 307,872.64, 424,744.32 and 207,337.60

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Solution

The fourth proportional to 307,872.64, 424,744.32 and 207,337.60 is: 286,045.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,872.64 : 424,744.32 = 207,337.60 : x
  2. Step 2: Convert to fraction form
    307,872.64/424,744.32 = 207,337.60/x
  3. Step 3: Cross multiply
    307,872.64x = 424,744.32 × 207,337.60
  4. Step 4: Simplify right side
    307,872.64x = 88,065,467,922.43
  5. Step 5: Solve for x
    x = 88,065,467,922.43/307,872.64
  6. Step 6: Final answer
    x = 286,045.13

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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.