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Finding the Fourth Proportional to 468,180.30, 645,915.93 and 307,254

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Solution

The fourth proportional to 468,180.30, 645,915.93 and 307,254 is: 423,897.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,180.30 : 645,915.93 = 307,254 : x
  2. Step 2: Convert to fraction form
    468,180.30/645,915.93 = 307,254/x
  3. Step 3: Cross multiply
    468,180.30x = 645,915.93 × 307,254
  4. Step 4: Simplify right side
    468,180.30x = 198,460,253,156.22
  5. Step 5: Solve for x
    x = 198,460,253,156.22/468,180.30
  6. Step 6: Final answer
    x = 423,897.06

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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.