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Finding the Fourth Proportional to 822,121, 1,134,381.78 and 459,428.92

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Solution

The fourth proportional to 822,121, 1,134,381.78 and 459,428.92 is: 633,930.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,121 : 1,134,381.78 = 459,428.92 : x
  2. Step 2: Convert to fraction form
    822,121/1,134,381.78 = 459,428.92/x
  3. Step 3: Cross multiply
    822,121x = 1,134,381.78 × 459,428.92
  4. Step 4: Simplify right side
    822,121x = 521,167,796,053.08
  5. Step 5: Solve for x
    x = 521,167,796,053.08/822,121
  6. Step 6: Final answer
    x = 633,930.77

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1.5x scale

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.