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Finding the Fourth Proportional to 518,977.74, 716,024.43 and 304,049.10

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Solution

The fourth proportional to 518,977.74, 716,024.43 and 304,049.10 is: 419,491.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,977.74 : 716,024.43 = 304,049.10 : x
  2. Step 2: Convert to fraction form
    518,977.74/716,024.43 = 304,049.10/x
  3. Step 3: Cross multiply
    518,977.74x = 716,024.43 × 304,049.10
  4. Step 4: Simplify right side
    518,977.74x = 217,706,583,519.51
  5. Step 5: Solve for x
    x = 217,706,583,519.51/518,977.74
  6. Step 6: Final answer
    x = 419,491.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.