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Finding the Fourth Proportional to 423,078.44, 634,783.80 and 186,254.96

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Solution

The fourth proportional to 423,078.44, 634,783.80 and 186,254.96 is: 279,455.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,078.44 : 634,783.80 = 186,254.96 : x
  2. Step 2: Convert to fraction form
    423,078.44/634,783.80 = 186,254.96/x
  3. Step 3: Cross multiply
    423,078.44x = 634,783.80 × 186,254.96
  4. Step 4: Simplify right side
    423,078.44x = 118,231,631,277.65
  5. Step 5: Solve for x
    x = 118,231,631,277.65/423,078.44
  6. Step 6: Final answer
    x = 279,455.58

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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.