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Finding the Fourth Proportional to 299,440,802.30, 449,161,203.45 and 255,602,824.70

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Solution

The fourth proportional to 299,440,802.30, 449,161,203.45 and 255,602,824.70 is: 383,404,237.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,440,802.30 : 449,161,203.45 = 255,602,824.70 : x
  2. Step 2: Convert to fraction form
    299,440,802.30/449,161,203.45 = 255,602,824.70/x
  3. Step 3: Cross multiply
    299,440,802.30x = 449,161,203.45 × 255,602,824.70
  4. Step 4: Simplify right side
    299,440,802.30x = 114,806,872,347,471,376
  5. Step 5: Solve for x
    x = 114,806,872,347,471,376/299,440,802.30
  6. Step 6: Final answer
    x = 383,404,237.05

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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.