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Finding the Fourth Proportional to 449,283.64, 620,148.72 and 277,254.24

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Solution

The fourth proportional to 449,283.64, 620,148.72 and 277,254.24 is: 382,695.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,283.64 : 620,148.72 = 277,254.24 : x
  2. Step 2: Convert to fraction form
    449,283.64/620,148.72 = 277,254.24/x
  3. Step 3: Cross multiply
    449,283.64x = 620,148.72 × 277,254.24
  4. Step 4: Simplify right side
    449,283.64x = 171,938,862,050.57
  5. Step 5: Solve for x
    x = 171,938,862,050.57/449,283.64
  6. Step 6: Final answer
    x = 382,695.58

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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.