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Finding the Fourth Proportional to 477,169, 715,757.82 and 144,745

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Solution

The fourth proportional to 477,169, 715,757.82 and 144,745 is: 217,118.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,169 : 715,757.82 = 144,745 : x
  2. Step 2: Convert to fraction form
    477,169/715,757.82 = 144,745/x
  3. Step 3: Cross multiply
    477,169x = 715,757.82 × 144,745
  4. Step 4: Simplify right side
    477,169x = 103,602,365,655.90
  5. Step 5: Solve for x
    x = 103,602,365,655.90/477,169
  6. Step 6: Final answer
    x = 217,118.81

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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.