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Finding the Fourth Proportional to 415,643.94, 623,443.50 and 162,969.84

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Solution

The fourth proportional to 415,643.94, 623,443.50 and 162,969.84 is: 244,445.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,643.94 : 623,443.50 = 162,969.84 : x
  2. Step 2: Convert to fraction form
    415,643.94/623,443.50 = 162,969.84/x
  3. Step 3: Cross multiply
    415,643.94x = 623,443.50 × 162,969.84
  4. Step 4: Simplify right side
    415,643.94x = 101,602,487,444.04
  5. Step 5: Solve for x
    x = 101,602,487,444.04/415,643.94
  6. Step 6: Final answer
    x = 244,445.97

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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.