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Finding the Fourth Proportional to 509,935,866.90, 764,903,800.35 and 398,970,986.10

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Solution

The fourth proportional to 509,935,866.90, 764,903,800.35 and 398,970,986.10 is: 598,456,479.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,935,866.90 : 764,903,800.35 = 398,970,986.10 : x
  2. Step 2: Convert to fraction form
    509,935,866.90/764,903,800.35 = 398,970,986.10/x
  3. Step 3: Cross multiply
    509,935,866.90x = 764,903,800.35 × 398,970,986.10
  4. Step 4: Simplify right side
    509,935,866.90x = 305,174,423,497,277,056
  5. Step 5: Solve for x
    x = 305,174,423,497,277,056/509,935,866.90
  6. Step 6: Final answer
    x = 598,456,479.15

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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.