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Finding the Fourth Proportional to 518,208, 777,312 and 144,240.72

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Solution

The fourth proportional to 518,208, 777,312 and 144,240.72 is: 216,361.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,208 : 777,312 = 144,240.72 : x
  2. Step 2: Convert to fraction form
    518,208/777,312 = 144,240.72/x
  3. Step 3: Cross multiply
    518,208x = 777,312 × 144,240.72
  4. Step 4: Simplify right side
    518,208x = 112,120,042,544.64
  5. Step 5: Solve for x
    x = 112,120,042,544.64/518,208
  6. Step 6: Final answer
    x = 216,361.08

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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.