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Finding the Fourth Proportional to 518,996,494.12, 716,217,059.22 and 280,841,679.80

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Solution

The fourth proportional to 518,996,494.12, 716,217,059.22 and 280,841,679.80 is: 387,562,544.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,996,494.12 : 716,217,059.22 = 280,841,679.80 : x
  2. Step 2: Convert to fraction form
    518,996,494.12/716,217,059.22 = 280,841,679.80/x
  3. Step 3: Cross multiply
    518,996,494.12x = 716,217,059.22 × 280,841,679.80
  4. Step 4: Simplify right side
    518,996,494.12x = 201,143,602,012,760,896
  5. Step 5: Solve for x
    x = 201,143,602,012,760,896/518,996,494.12
  6. Step 6: Final answer
    x = 387,562,544.82

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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.