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Finding the Fourth Proportional to 418,821.64, 628,232.56 and 292,708.18

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Solution

The fourth proportional to 418,821.64, 628,232.56 and 292,708.18 is: 439,062.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,821.64 : 628,232.56 = 292,708.18 : x
  2. Step 2: Convert to fraction form
    418,821.64/628,232.56 = 292,708.18/x
  3. Step 3: Cross multiply
    418,821.64x = 628,232.56 × 292,708.18
  4. Step 4: Simplify right side
    418,821.64x = 183,888,809,307.86
  5. Step 5: Solve for x
    x = 183,888,809,307.86/418,821.64
  6. Step 6: Final answer
    x = 439,062.34

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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.