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Finding the Fourth Proportional to 477,162, 715,747.32 and 144,738

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Solution

The fourth proportional to 477,162, 715,747.32 and 144,738 is: 217,108.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,162 : 715,747.32 = 144,738 : x
  2. Step 2: Convert to fraction form
    477,162/715,747.32 = 144,738/x
  3. Step 3: Cross multiply
    477,162x = 715,747.32 × 144,738
  4. Step 4: Simplify right side
    477,162x = 103,595,835,602.16
  5. Step 5: Solve for x
    x = 103,595,835,602.16/477,162
  6. Step 6: Final answer
    x = 217,108.31

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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.