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Finding the Fourth Proportional to 642,443.04, 965,054.88 and 417,687.84

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Solution

The fourth proportional to 642,443.04, 965,054.88 and 417,687.84 is: 627,435.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,443.04 : 965,054.88 = 417,687.84 : x
  2. Step 2: Convert to fraction form
    642,443.04/965,054.88 = 417,687.84/x
  3. Step 3: Cross multiply
    642,443.04x = 965,054.88 × 417,687.84
  4. Step 4: Simplify right side
    642,443.04x = 403,091,688,308.66
  5. Step 5: Solve for x
    x = 403,091,688,308.66/642,443.04
  6. Step 6: Final answer
    x = 627,435.68

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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.