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Finding the Fourth Proportional to 477,168, 715,756.32 and 144,744

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Solution

The fourth proportional to 477,168, 715,756.32 and 144,744 is: 217,117.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,168 : 715,756.32 = 144,744 : x
  2. Step 2: Convert to fraction form
    477,168/715,756.32 = 144,744/x
  3. Step 3: Cross multiply
    477,168x = 715,756.32 × 144,744
  4. Step 4: Simplify right side
    477,168x = 103,601,432,782.08
  5. Step 5: Solve for x
    x = 103,601,432,782.08/477,168
  6. Step 6: Final answer
    x = 217,117.31

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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.