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Finding the Fourth Proportional to 542,461,636.80, 748,588,238.64 and 294,949,224

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Solution

The fourth proportional to 542,461,636.80, 748,588,238.64 and 294,949,224 is: 407,025,133.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,461,636.80 : 748,588,238.64 = 294,949,224 : x
  2. Step 2: Convert to fraction form
    542,461,636.80/748,588,238.64 = 294,949,224/x
  3. Step 3: Cross multiply
    542,461,636.80x = 748,588,238.64 × 294,949,224
  4. Step 4: Simplify right side
    542,461,636.80x = 220,795,520,082,394,816
  5. Step 5: Solve for x
    x = 220,795,520,082,394,816/542,461,636.80
  6. Step 6: Final answer
    x = 407,025,133.40

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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.