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Finding the Fourth Proportional to 417,677.30, 626,779.50 and 177,790.82

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Solution

The fourth proportional to 417,677.30, 626,779.50 and 177,790.82 is: 266,798.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,677.30 : 626,779.50 = 177,790.82 : x
  2. Step 2: Convert to fraction form
    417,677.30/626,779.50 = 177,790.82/x
  3. Step 3: Cross multiply
    417,677.30x = 626,779.50 × 177,790.82
  4. Step 4: Simplify right side
    417,677.30x = 111,435,641,264.19
  5. Step 5: Solve for x
    x = 111,435,641,264.19/417,677.30
  6. Step 6: Final answer
    x = 266,798.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.