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Finding the Fourth Proportional to 419,703.63, 578,779.54 and 266,475.81

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Solution

The fourth proportional to 419,703.63, 578,779.54 and 266,475.81 is: 367,475.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,703.63 : 578,779.54 = 266,475.81 : x
  2. Step 2: Convert to fraction form
    419,703.63/578,779.54 = 266,475.81/x
  3. Step 3: Cross multiply
    419,703.63x = 578,779.54 × 266,475.81
  4. Step 4: Simplify right side
    419,703.63x = 154,230,746,480.45
  5. Step 5: Solve for x
    x = 154,230,746,480.45/419,703.63
  6. Step 6: Final answer
    x = 367,475.37

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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.