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Finding the Fourth Proportional to 477,160, 715,744.32 and 144,736

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Solution

The fourth proportional to 477,160, 715,744.32 and 144,736 is: 217,105.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,160 : 715,744.32 = 144,736 : x
  2. Step 2: Convert to fraction form
    477,160/715,744.32 = 144,736/x
  3. Step 3: Cross multiply
    477,160x = 715,744.32 × 144,736
  4. Step 4: Simplify right side
    477,160x = 103,593,969,899.52
  5. Step 5: Solve for x
    x = 103,593,969,899.52/477,160
  6. Step 6: Final answer
    x = 217,105.31

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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.