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Finding the Fourth Proportional to 524,263,238.70, 723,498,607.83 and 286,123,697.21

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Solution

The fourth proportional to 524,263,238.70, 723,498,607.83 and 286,123,697.21 is: 394,859,073.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,263,238.70 : 723,498,607.83 = 286,123,697.21 : x
  2. Step 2: Convert to fraction form
    524,263,238.70/723,498,607.83 = 286,123,697.21/x
  3. Step 3: Cross multiply
    524,263,238.70x = 723,498,607.83 × 286,123,697.21
  4. Step 4: Simplify right side
    524,263,238.70x = 207,010,096,594,989,952
  5. Step 5: Solve for x
    x = 207,010,096,594,989,952/524,263,238.70
  6. Step 6: Final answer
    x = 394,859,073.29

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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.