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Finding the Fourth Proportional to 419,139.83, 578,101.05 and 266,045.04

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Solution

The fourth proportional to 419,139.83, 578,101.05 and 266,045.04 is: 366,944.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,139.83 : 578,101.05 = 266,045.04 : x
  2. Step 2: Convert to fraction form
    419,139.83/578,101.05 = 266,045.04/x
  3. Step 3: Cross multiply
    419,139.83x = 578,101.05 × 266,045.04
  4. Step 4: Simplify right side
    419,139.83x = 153,800,916,971.29
  5. Step 5: Solve for x
    x = 153,800,916,971.29/419,139.83
  6. Step 6: Final answer
    x = 366,944.17

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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.