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Finding the Fourth Proportional to 822,123, 1,134,384.54 and 459,430.92

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Solution

The fourth proportional to 822,123, 1,134,384.54 and 459,430.92 is: 633,933.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,123 : 1,134,384.54 = 459,430.92 : x
  2. Step 2: Convert to fraction form
    822,123/1,134,384.54 = 459,430.92/x
  3. Step 3: Cross multiply
    822,123x = 1,134,384.54 × 459,430.92
  4. Step 4: Simplify right side
    822,123x = 521,171,332,845.98
  5. Step 5: Solve for x
    x = 521,171,332,845.98/822,123
  6. Step 6: Final answer
    x = 633,933.53

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