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Finding the Fourth Proportional to 518,563, 777,975.72 and 144,586

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Solution

The fourth proportional to 518,563, 777,975.72 and 144,586 is: 216,915.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,563 : 777,975.72 = 144,586 : x
  2. Step 2: Convert to fraction form
    518,563/777,975.72 = 144,586/x
  3. Step 3: Cross multiply
    518,563x = 777,975.72 × 144,586
  4. Step 4: Simplify right side
    518,563x = 112,484,397,451.92
  5. Step 5: Solve for x
    x = 112,484,397,451.92/518,563
  6. Step 6: Final answer
    x = 216,915.59

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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.